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Volume, Area, and Perimeter - 5th Grade

Total questions: 38

Worksheet time: 2hrs 0mins

Name

Class

Date

The area of a rectangle can be found by what formula?

2L + 2W

Length x Width x Height

Length x Width

Area of the base x Height

DJ's backyard measures 25 feet by 12 feet. What is the area of the backyard?

300 square feet

37 square feet

74 square feet

3000 square feet

If a square has a side length of 10 meters, what is it's perimeter (P) and area (A)?

P = 40 meters,
A = 100 m²

P = 100 meters,
A = 40 m²

P = 30 meters,
A = 125 m²

P = 40 meters,
A = 150 m²

If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter (P) and area (A)?

P = 22 cm,
A = 54 cm²

P = 44 cm,
A = 120 cm²

P = 120 cm,
A = 44 cm²

P = 44 cm,
A = 102 cm²

What is the distance around the outside of a shape or figure is called?

Length

Area

Perimeter

Godzilla

If a cube has a side length of 7 cm, what is it's volume?

294 cm³

28 cm³

49 cm³

343 cm³

How many cubes will fit in this cube?

729

512

Calculate the volume

410 cm³

420 cm³

402 cm³

401 cm³

Calculate the volume

248 ft²

248 ft³

168 ft²

168 ft³

10.

What is the volume of this complex shape?

$156\ cm^3$

$336\ cm^3$

$304\ cm^3$

$240\ cm^3$

11.

Nathan had two identical chests with the dimensions shown below. What expression can he use to find the area of the bases of both chests?

15 x 4 x 7

2(15 x 4)

2(15 x 4) + 2(15 x 4)

2(15 x 4 x 7)

12.

If the dimensions of a shipping box is 12 units x 6 units x 4 units, how many unit cubes can fit within the box?

288

120

244

13.

A perimeter of a rectangle if 36 meters. The width is 4 meters. What would the length be?

18 m

14m

9 m

28m

14.

Find the perimeter

25 cm

35 cm

50 cm

46 cm

15.

Find the area

126 m

120 m²

126m²

120 m²

16.

A prism is 12 cm tall. The area of the base is 7 cm. What is the volume?

19 cm

84 cm³

1,008

17.

A prism has a length of 6 cm, and a width of 7 cm. The volume of the prism is 210 cubic cm. What is the height?

18.

What is the volume?

19.

What would be the volume of this cube?
Answer the question in cubes.

48 cubes

24 cubes

28 cubes

32 cubes

20.

Calculate the Volume

410 cm³

420 cm³

402 cm³

401 cm³

21.

Mrs. Payton wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?

20 feet

40 ft

96 square feet

84 square feet

22.

^{What is the perimeter of this shape?}

22 cm

34 cm

30 cm

44 cm

23.

^{What would be the perimeter of this shape?}

108 cm²

42 cm

108 cm

42 cm²

24.

Find the volume of the figure.

$546\ m^3$

$456\ m^3$

$654\ m^3$

$54\ m^3$

25.

What is the volume of the cereal box?

23 in³

97 in³

132 in³

288 in³

26.

^{Find the area of the base.}

428.4 cm³

35.7 cm³

84 cm³

61.2 cm³

27.

Ellie is sending the following package in the mail to her sister. She needs to find the volume of the box before sending the package.

$V=12+14+31$

$V=12\times14\times31$

$V=\left(12\times2\right)+\left(14\times2\right)+\left(31\times2\right)$

$V=\left(12\times14\right)+31$

28.

Two rectangles are shown below.

How many more square feet are in rectangle A compared to rectangle B?

2,111 square feet

383 square feet

24 square feet

482 square feet

29.

Bronwyn has a garden with a length of 5 feet and a width of 3 feet. What is the area and perimeter of her garden?

A = 8 square feet

P = 16 feet

A = 15 square feet

P = 8 feet

A= 15 square feet

P = 16 feet

A = 16 square feet

P = 15 feet

30.

The amount of water a pool holds.

Perimeter

Area

Volume

31.

Dexter's new freezer came in a box similar to the one shown. What is the volume of the box?

72 cubic feet

108 cubic feet

13 cubic feet

24 cubic feet

32.

Which is the formula for volume?

Base x Height

Length x Width

Length x Width x Height

Surface Area x Height

33.

Which label would NOT be appropriate for volume.

square miles

inches³

cm³

cubic feet

34.

length =32 ft.
width = 12 ft.
height = 2 ft
What is the volume of this prism?

768

768 ft squared

768 ft cubed

678

35.

^{What is the
area of
this shape?}

50cm²

22cm²

38cm²

36.

Mackenzie needs a box with a volume of 24 cu. ft. What combination of length, width, and height for a box could Mackenzie use?

L 6 ft, W 1 ft, H 5 ft

L 4 in, W 6 in, H 1 in

L 4 ft, W 2 ft, H 3 ft

L 12 in. , W 2 in , H 1 in

37.

Logan works for a gaming company and sends games in boxes shaped like rectangular prisms. One bundle of games has a volume of 34 ft.³

The box the games will be shipped in has a base of 15 ft²and a height of 3 ft. The rest of the box will have packing material. What is the volume of the packing material that is needed?

26 ft³

13 ft³

11 ft³

45 ft³

38.

This equation 2L + 2W will find what of a rectangle?

Volume

Area

Perimeter

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Volume, Area, and Perimeter - 5th Grade

Total questions: 38

Worksheet time: 2hrs 0mins

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