Find the volume and surface area of the composite figure shown below if the figure is built with unit cubes.
Answers
Answer:
the volume is 18 and the surface area is 46
Step-by-step explanation:
The volume of the cube will be and the surface area of the cube will be square units.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. The volume of the cube will be calculated by multiplying all three sides of the cube.
The volume will be calculated as below:-
The formula to calculate the volume = l x w x h
The volume of the first part = 2 x 2 x 3 = 12 cubic units
The volume of the Second part = 2 x 2 x 1 = 4 cubic units
The volume of the third part = 2 x 1 x 1 = 2
Total volume of the cube = 12 + 4 + 2 = 18 cubic units.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area will be calculated as below:-
Surface area of the base = 2 ( 4 x 2) + 2( 2x 1) + 2 ( 4x 1) = 28
Surface area of the middle = 2 ( 3 x 2 ) + 2 ( 2 x 1 ) + 2 ( 3 x 1) = 22
Surface area of the upper side = 2 ( 2 x 2) +2 ( 1 x 2 ) + 2 ( 1 x 2) = 16
The total surface area is calculated as below:-
Total = 28 + 22 + 16 = 66 square units.
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Related Questions
Find the area of the figure.
Answers
Answer:
89 m²
Step-by-step explanation:
Area of rectangle = 8 x 13 = 104
Area of triangle = (5 x 6) / 2 = 15
104 - 15 = 89 m²
5 athletes are in a 100k race. How many different ways can they finish based on their order.
Answers
Answer:
It's 120 different ways I think
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
a. one third of the design is yellow
b. there are three equal shares
explanation:
4/12 = 3
one third of the design is yellow
there are three equal shares 4 orange, 4 yellow and 4 orange
each share has 4 not 3 squares
two thirds of the design is orange
Pls help!!!!
Find the center, vertices, foci, and asymptotes of the hyperbola. 9y^2-36x^2=324
Answers
Answer:
Center: (0, 0)
Vertices: (0, 6), (0, -6)
Foci: (0, 3√5), (0, -3√5)
Asymptotes: y = 2x, y = -2x
Step-by-step explanation:
For the triangle above, write the correct part of the triangle (opposite, adjacent, otr hypotenuse)
For the triangle above, write the trigonometric ratio for each function. (Use “/” for fraction bar)
Will give brainliest
Answers
Answer:
this is the answer please give brainliest
The following are house prices in Southern California:
$750,000 , $875,000 ,$800,000 , $700,000 ,$1,000,000 , $1, 160,000 , $1, 180,000
What is the median house price?
A. $700.000
B. $923, 000
C. $1.000.000
D. $875.000
Answers
Please Help!! Thanks in advance!
Answers
Given:
The equation is:
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
To find:
The value of y.
Solution:
We have,
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
On cross multiplication, we get
[tex]y(p+q)=y(p-q)[/tex]
[tex]yp+yq=yp-yq[/tex]
[tex]yp+yq-yp+yq=0[/tex]
[tex]2yq=0[/tex]
Dividing both sides by 2q, we get
[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]
[tex]y=0[/tex]
Therefore, the correct option is A.
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) = −16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Answers
Answer:
[tex]t = 0.375s[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1
[tex]Rate = 2ft/s[/tex] -- driver 2
[tex]height = 33ft[/tex]
Required
The time they passed each other
First, we determine the function of driver 2.
We have that:
[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]
So, the function is:
[tex]h_2(t) = Height - Rate * t[/tex]
[tex]h_2(t) = 33 - 2t[/tex]
The time they drive pass each other is calculated as:
[tex]h(t) = h_2(t)[/tex]
[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]
Collect like terms
[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]
[tex]-16t^2 + 6t= 0[/tex]
Divide through by 2t
[tex]-8t + 3= 0[/tex]
Solve for -8t
[tex]-8t = -3[/tex]
Solve for t
[tex]t = \frac{-3}{-8}[/tex]
[tex]t = 0.375s[/tex]
If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?
Answers
Just multiply 15 and 5 which gives you 75. Take 525 and divide it by 75 and you get 7. You can check your answer by multiplying (what you got for your answer) x 5, then that result is multiplied by 15 and you should get 525.
Hope it helps :D
Which is the best estimate for √34 to the nearest whole number
Answers
Answer:Other than using a calculator to get an approximate value (
5.83
) for
√
34
,
√
34
can not be simplified
Step-by-step explanation:The only factors (
>
1
) of
34
are
2
and
17
Since neither of these are a square,
√
34
has no simplification.
Which of the following equations is quadratic?
A.) x(x^2 + 1) = 0
B.) 5(4x + 2) = 3
C.) (x + 3)(x + 4) = 5
Answers
The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Choose all the expressions that can represent the situation.
A. 6 - 8
B. -8 - 6
C. -8 + 6
D. 6 - (-8)
E. -8 + (-6)
Answers
Answer:
-8-6
-8+6
6-(-8)
Step-by-step explanation:
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answers
good luck :)
Answer:
a edge 2021
Step-by-step explanation:
What is the correct answer?
Answers
Answer:
yellow
Step-by-step explanation:
this is how I solved it....
have a great day!
Select the correct text In the passage. Which lines best demonstrate falling action in the passage?
Steven and James emerged from the trees and walked along a sloping open area to the river. The rippling river sparkled like diamonds in the sun, and the boys couldn't resist the urge to stop and soak up the scenery. They watched as tiny Insects danced a ballet across the water. As they rested their feet, both boys gazed north toward the unpredictable volcano il cd become so familiar with. It was magnificent, even with the usual cloud of steam rising above it. As they watched, though, they notice ething around them was changing. The cloud on the volcano's peak suddenly grew larger, and the ground began to shake beneath .. James said, "I wonder-" He didn't have time to finish the rest of his sentence. As they looked on in stunned silence, the top of Big White Peak suddenly exploded and erupted. For a split second, everything was soundless. Steven and James stared, mesmerized by a huge, dark cloud streaked with blue and orange flashes. Then, as the roar of the sound reached them, both boys jumped up and began to sprint back to their car. They scrambled up the rugged hillside, tripping over rocks and branches without stopping. "Look!" shouted James, looking over his shoulder as he ran. The cloud was growing larger, and it seemed to be coming toward them with a tremendous amount of speed. Steven didn't think they needed to be concerned about the cloud itself because the wind was blowing in the opposite direction and they were quite far from the crater. What he was worried ībout most , however, was that they might be caught in a flood. He hoped they could get away before the snow and ice from the Big White Peak melted in the heat of the eruption. The boys ran over the rugged terrain, glancing back nervously on the way to the car. As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray. Still numb with shock, they turned out of the park and onto the highway toward home.
Answers
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray.
Step-by-step explanation:
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain.
Step-by-step explanation:
6.) Evaluate the expressions below for the given values.
a. 2x + (x – 6) for x = 14
b. n 2+ n + 1 for n = 8
c. (r – 10)(r + 2) for r = 13
20 POINTSS
Answers
Answer:
Answer below. Hope it helps.
Step-by-step explanation:
a. 2x + (x - 6) {x = 14}
= 2*14 + (14 - 6)
= 28 + 8
= 36
b. n² + n + 1 {n = 8}
= 8² + 8 + 1
= 64 + 9
= 73
c. (r - 10) (r + 2) {r = 13}
= (13 - 10) (13 + 2)
= 3 * 15
= 45
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answers
2. x=8/125
3. x=5
4. x=4/5
Find the area of the figure.
14 m
5 m
16 m
Answers
Answer:
Step-by-step explanation:
Seperate the shape into two. 16x2=32cm². 12x11=132cm²
So altogether it would = 164cm²
HELP is 3.31227766... a rational OR irrational number?
Answers
Answer:
irrational
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
irrational.
Step-by-step explanation:
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Answers
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
Answers
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
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Solve the system by eliminating one of the variables by addition or subtraction
2x-y=4
3x+y=6
Answers
Answer:
(2,0)
Step-by-step explanation:
2x-y=4 equation 1
3x+y=6 equation 2
5x=10 eliminate y by adding equations
x=2
solve for y
2x-y=4
2(2)-y=4
4-y=4
-y=0
y=0
check answer:
3x+y=6
3(2)+0=6
6=6
One thing you learned about slopes
Answers
Answer:
one thing that I learned about slope is the rise over run and y2-y1 over x2-x1
Step-by-step explanation:
Answer:
That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points
Hope this helps!
Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =
Answers
Answer:
120 bud
Step-by-step explanation:
The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation?
Answers
Answer:
there's not options :/ nobody can answer this
TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?
⚫⚪⚫⚫⚫⚫⚫⚫
A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1
Answers
Answer:
1/8 + 1/2 = 5/8
Step-by-step explanation:
Total number of beads = 8
Number of green beads = 4
Number of yellow beads = 1
Fraction of green beads :
Number of green / total number of bead = 4 / 8 = 1/2
Fraction of yellow beads :
Number of yellow / total number of bead = 1 / 8
Number of green or yellow bead :
1/8 + 1/2 = (1 + 4) / 8 = 5/8
Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation
Answers
Answer:
I can’t see the picture
Step-by-step explanation:
hey what's the answer ?
[tex] \sqrt{56 + ( - 7)} [/tex]
(╯︵╰)
Answers
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]
[tex] \sqrt{56 + ( - 7)} [/tex]
[tex] \sqrt{49} [/tex]
[tex] \sqrt{7²} [/tex]=±7
is your answer
help me solve this please
Answers
[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]
parallel sides measure :
10 ft -(a)12 ft. -(b)Area :
44 ft²height (h) = x
___________________
[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]
[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex][tex] \dfrac{1}{2} \times 22 \times x = 44[/tex][tex]11x = 44[/tex][tex] \boxed{ 4 \: \: ft}[/tex]Therefore, height of Trapezoid is 4 ft
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
John wrote the equation tim.0 to represent there in decrees er a substance had been tested for minutes Describes be temperature of the substance and the been heated A The temperature initially de trees Cels B. The temperature increased by dores every 0. Based on John's equation, how many minutes does the substances to be heated to reach a temperature of 100 decrees Celtus?
Answers
Answer:
ur english is so bad i can barely discern what ur trying to say and the correct answer is 5
Step-by-step explanation: