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Perimeter, Area and Volume Test

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The figure shows the base layer of a rectangular prism that Sophie built using blocks. The prism was made by stacking 10 layers of the blocks. Each layer was identical to the base layer. Each block has a volume of 1 cubic unit. What is the volume of the rectangular prism that Sophie built?

a)

150 cubic units

b)

40 cubic units

c)

180 cubic units

d)

300 cubic units

2.

Priscilla built a cabinet shaped like a rectangular prism. The length of the base is 9 inches, and the width is 40 inches. What is the area of the base of the cabinet in square inches?

a)

49 square inches

b)

360 square inches

c)

98 square inches

d)

Not here

3.

Gabriel bought a dog crate shaped like a rectangular prism with the dimensions shown in the model. What is the area in square inches of the shaded floor of the dog crate?

a)

864 square inches

b)

1,080 square inches

c)

720 square inches

d)

1,296 square inches

4.

Phoebe divided her rectangular vegetable garden into three sections, as shown in the drawing below. The potato section is a square with a side length of 7 meters. The carrot section is a square with a side length of 5 meters. What is the area, in square meters, of the corn section of Phoebe's garden?

a)

10 square meters

b)

14 square meters

c)

84 square meters

d)

35 square meters

5.

A blue pad to go around a trampoline

a)

Area

b)

Perimeter

c)

Volume

6.

Enough ribbon to put a lace border around a curtain

a)

Area

b)

Perimeter

c)

Volume

7.

Enough fence to go around a garden

a)

Area

b)

Perimeter

c)

Volume

8.

Enough wood to make a frame for a picture

a)

Area

b)

Perimeter

c)

Volume

9.

Enough lights to go around the deck.

a)

Area

b)

Perimeter

c)

Volume

10.

Duane packed some books in a box shaped like a rectangular prism. The volume of the box is 168 cubic inches. Which model could represent Duane's box?

a)

b)

c)

d)

11.

A square has a perimeter of 20 centimeters and an area of 25 square centimeters. Use the ruler provided to measure the line segments below to the nearest centimeter.

Which measurement could represent a side of this square?

a)

4.8 cm

b)

5.8 cm

c)

9.5 cm

d)

3.8 cm

12.

The shaded cube has a volume of 1 cubic unit. Cubes like this one will be used to completely fill a rectangular prism that has the dimensions shown. How many of these shaded cubes will be needed to completely fill the rectangular prism?

a)

48

b)

80

c)

160

d)

Not here

13.

A student builds some rectangular prisms using cubes that each have a volume of 1 cubic inch. Which rectangular prism has a volume of 12 cubic inches?

a)

b)

c)

d)

14.

Rebekah is filling a cube-shaped box with small cubes. The volume of each of these cubes is 1 cubic centimeter. She has already put some of these cubes into the box, as shown in the model. What is the total number of small cubes that will fit in the box?

a)

729

b)

81

c)

36

d)

27

15.

What is the perimeter of the hexagon in feet?

16.

A rectangular billboard is 9.35 meters wide and 6.82 meters tall. What is the perimeter of the billboard in meters? Be sure to use the correct place value, ________.

17.

The diagram shows the locations of three cities and the triangle formed between these locations. What is the perimeter of the triangle in miles?

a)

59.7 miles

b)

597 miles

c)

5.97 miles

d)

.597 miles

18.

Mr. Warren drew a diagram of the base of a carton shaped like a rectangular prism. Use the ruler provided to measure the length and width of the diagram to the nearest inch. Which measurement is closest to the area of the base of the carton in square inches?

a)

12 square inches

b)

14 square inches

c)

20 square inches

d)

18 square inches

19.

A rectangular prism has a length of 20 inches, a width of 11 inches, and a height of 13 inches. What is the volume in cubic inches of this rectangular prism?

a)

233 cubic inches

b)

2860 cubic inches

c)

160 cubic inches

d)

88 cubic inches

20.

Edgar built a deck in his backyard with a section in the shape of a rectangle and a section in the shape of a square. The model shows the dimensions of his deck in feet. What is the area in square feet of the deck Edgar built?