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Lesson #5 S.A / or Volume  Practical FRIDAY 2/26

Lesson #5 S.A / or Volume Practical FRIDAY 2/26

Assessment

Presentation

•

Mathematics

•

7th Grade

•

Easy

•
CCSS
8.G.C.9, 7.G.B.6, 5.MD.C.5B

+5

Standards-aligned

Created by

Mariah Brown

Used 17+ times

FREE Resource

4 Slides • 37 Questions

1

Surface Area or Volume Review and Practical Problems

2

Multiple Choice

Question image
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
1
24,280 cubic feet
2
16,430 cubic feet
3
11,720 cubic feet
4
4,480 cubic feet

3

Surface area is the total area of the surface/outside of a three-dimensional figure. Surface area is the sum of the area of the faces.

Key words: ​

  • cover

  • outside

  • wrap

  • square units

4

Volume is the amount of space inside a three dimensional figure.

​

Key words: ​

  • inside

  • capacity

  • liquid

  • fill

  • hold

  • cubic units

media

5

Multiple Choice

Alexis has a wooden box that is shaped like a rectangular prism. He is going to paint the box. Which formula will he need to use to find out how much paint to buy?

1

Volume

2

Surface area

6

Multiple Choice

Alex has two boxes. He wants to put the contents of the two boxes into a larger box. What will he need to know to make sure his larger box is big enough to hold the contents of both boxes?

1

Surface area

2

Volume

7

Multiple Choice

Question image

The trailer on the back of the truck below is in the shape of a rectangular prism. George needs to know how much the trailer will hold for shipping. Which does he need to know?

1

Surface area

2

Volume

8

Multiple Select

Identify each situation that would require the application of surface area.

1

Painting the outside of a shoebox

2

Filling the shoebox with candy

3

Counting the number of cubes inside of a shoebox.

4

Wrapping the shoebox in gift wrap

9

Multiple Choice

Question image

If you wanted to know how much metal is needed to make a can you would be finding the ______

1

Surface Area

2

Volume

10

Multiple Select

Identify each situation that would require the application of volume

1

Determining the amount of water in a water bottle.

2

Determining the number of pencils that could fit into a rectangular box.

3

Determining the amount of wrapping paper needed to wrap a box.

4

Determining the amount of paint needed to paint the outside of a cylinder.

11

Multiple Choice

Question image

If you wanted to know how much treasure is in the chest you would be finding the ________________

1

volume

2

surface area

12

Multiple Choice

Question image

Sammy needs to cover the box with wrapping paper. Which does he need to know before wrapping the box?

1

Surface area

2

Volume

13

What does it mean?

V = Volume

S.A. = Surface Area​

​

l= length

w= width

h= height

r= radius​

​

​

​

media

14

Multiple Choice

Question image

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

What shape is Tommy's box?

1

Rectangular Prism

2

Cylinder

15

Multiple Choice

Question image

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

What is the situation calling for?

1

Surface Area

2

Volume

16

Multiple Choice

Question image

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

What shape is the paint can?

1

Cylinder

2

Rectangular prims

3

Triangular prism

17

Multiple Choice

Question image

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

Does the situation call for finding SA or V?

1

Surface Area

2

Volume

18

Multiple Choice

Question image

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

What formula do you use?

1

V= lwh

2

V= πr2h\pi r^2h  

19

Multiple Choice

Question image

If you wanted to know how many cheerios could fit inside of the box you would be finding the _______

1

volume

2

surface area

20

Multiple Choice

Question image

If you wanted to know how many cubic inches of tissue this box could hold you would be finding the __________ of the box.

1

volume

2

surface area

3

perimeter

4

distance

21

Multiple Choice

When trying to answer the question below, would it be more helpful to think about the surface area or the volume?


How much glass is needed to build a greenhouse?

1

surface area

2

volume

22

Multiple Choice

Which formula can be used to find the volume of a rectangular prism?
1

length x width

2

length x width x height

3

height x length

4

length + width + height

23

Multiple Choice

Which label would NOT be appropriate for volume.
1

square miles

2

inches3

3

cm3

4

cubic feet

24

Multiple Choice

Question image
Find the Volume of the Cylinder
1

1178 ft3

2

4712 ft3

3

7069 ft3

4

3534 ft3

25

Multiple Choice

Question image
You are putting in a pool at your house in the shape of a rectangular prism.  The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft.  How much water will be in the pool?
1

8640 cubic feet

2

8400 cubic feet

3

8000 cubic feet

4

9600 cubic feet

26

Multiple Choice

Question image
You want to figure out how cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?
1

68.56 cubic inches

2

75.36 cubic inches

3

83.76 cubic inches

4

94.7 cubic inches

27

Multiple Choice

Question image
We want to fill up the cylinder pictured with water.  How many inches cubed of water will fit inside it?
1

78500 inches cubed

2

80000 inches cubed

3

84500 inches cubed

4

89000 inches cubed

28

Multiple Choice

David and Vanesa built a recycling bin that is 6 feet wide, 12 feet long, and 14 feet high. How much trash can fit inside of the bin?

1

32 cubic ft

2

648 cubic ft

3

1008 cubic ft

4

61214 cubic ft

29

Multiple Choice

Dwayne is building a sand box that is 6 feet wide, 3 feet long, and 15 inches high. How many cubic feet of sand will the box hold?


Which formula should you use to solve this problem?

1

Surface Area of a Rectangular Prism

2

Volume of a Rectangular Prism

3

Surface Area of a Cylinder

4

Volume of a Cylinder

30

Multiple Choice

Dwayne is building a sand box that is 6 feet wide, 3 feet long, and 15 inches high. How many cubic feet of sand will the box hold?

1

6315 cubic ft

2

270 cubic ft

3

306 cubic ft

4

24 cubic ft

31

Multiple Choice

Donnie is building a rectangular planter without a top. The planter will be 7 inches wide, 16 inches long, and 10 inches high. How much wood is needed to make the bottom and sides of the planter?


Which formula should you use to solve this problem?

1

Surface Area of a Rectangular Prism

2

Volume of a Rectangular Prism

3

Surface Area of a Cylinder

4

Volume of a Cylinder

32

Multiple Choice

Given a prism with length = 10 m, width = 5 m and height = 2 m, and the height is doubled to 4 m, which of the following is true about its volume?

1

The new volume is 3 times the old.

2

The new volume is 1/2 the old.

3

The new volume is 2 times the old.

4

The new volume is 4 times the old.

33

Multiple Select

Select ALL the rectangular prisms below

1
2
3
4
5

34

Multiple Choice

Question image

What is the difference in volume, in cm3, between M and N?

1

47

2

53

3

144

4

197

35

Multiple Choice

A box held 30 cubic inches of space inside. If the length was 5 inches and the width measured 3 inches, what was the box's height?

1

2 inches

2

3 inches

3

5 inches

4

1 inch

36

Multiple Choice

Question image

A construction company is going to fill

a sinkhole with soil. How much soil is

needed?

1

1889 ft31889\ ft^3

2

47.12 ft347.12\ ft^3

3

150.79 ft3150.79\ ft^3

4

37.69 ft337.69\ ft^3

37

Multiple Choice

Question image

Mark is going to plant herbs in a rectangular flower box. If the length is 14 feet, the width is 5 feet and the height is 4 feet, how many cubic feet of soil does he need to fill the planter half-full?

1

280 ft3

2

140 ft2

3

140 ft3

4

280 ft2

38

Multiple Choice

Question image

Which cylinder will hold more liquid?

1

Cylinder A

2

Cylinder B

3

They hold the same amount

39

Multiple Choice

The volume of a rectangular prism is 250 m3. If the height is multiplied by a scale factor of 1/2, what is the new volume? (TO FIND HALF OF SOMETHING JUST DIVIDE BY 2)

1

250 m3

2

500 m3

3

125 m3

4

75 m3

40

Multiple Choice

Carl's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's pool has the same length and height, but the width is three times larger. What is the volume of the neighbor's pool?

1

1200 cubic feet

2

1800 cubic feet

3

200 cubic feet

4

900 cubic feet

41

Multiple Choice

Question image

Kyiel has a rectangular prism that has the same dimensions as the one shown except for the height 4 times as tall. What is true about the volume of Kyiel's rectangular prism?

1

Her prism's volume is 4 cubic centimeters less than the volume of the prism above.

2

Her prism's volume is 4 cubic centimeters more than the volume of the prism above.

3

Her prism's volume is 4 times the volume of the prism above.

4

Her prisms volume is 1441​ the volume of the prism above.

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