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Surface Area & Volume of Prisms

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

Janet has 3 cube-shaped boxes. Each box has a side length of 10 inches. What is the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes?

a)

12.5 ft2

b)

0.75 ft2

c)

16.0 ft2

d)

10.13 ft2

2.

This box will be used to ship number cubes. The number cubes have sides that each measure   34\frac{3}{4} yard.

a)

351

b)

832

c)

576

d)

1,440

3.

John’s tent is shown below. What is the surface area of the tent without the bottom?

a)

484 ft2

b)

624 ft2

c)

142 ft2

d)

920 ft2

4.

A company makes boxes. It costs $0.02 per square inch to make the closed box shown below. What is the total cost to make the box?

a)

$1.24

b)

$0.80

c)

$4.88

d)

$0.40

5.

The image below depicts one of Janice’s photo storage boxes. She has two more storage boxes with measurements exactly 37\frac{3}{7} the measurements of this box. What is the combined surface area of all three photo boxes?

a)

1,800 in2

b)

1,367 in2

c)

900 in2

d)

1,228 in2

6.

What is the surface area of a rectangular prism that has a length of 16 cm, a height of 10 cm, and a width of 11 cm?

a)

590 cm2

b)

892 cm2

c)

954 cm2

d)

477 cm2

7.

Kacey wants to pack a box, with dimensions 3 ft × 2 ft × 1 ft, with pencil cases. Each pencil case measures 2 in. long, 8 in. wide, and 4 in. tall.

a)

6

b)

27

c)

162

d)

288

8.

A box is shaped like a cube. The length of one side is 21 inches. What is the least amount of paper needed to completely cover the box?

a)

441 in2

b)

621 in2

c)

2,646 in2

9.

Sue’s living room measures 12 feet by 14 feet. She wants to put a rug in the room and leave 1 foot of uncovered flooring on all sides of the rug. Rugs cost $3.29 per square foot. Before taxes, how much will a rug for Sue’s living room cost?

a)

$394.80

b)

$470.47

c)

$506.66

d)

$552.72

10.

Jessica wants to paint the walls of her rectangular bedroom. Her room measures 14 ft by 16 ft with 8 ft high ceilings. One gallon of paint covers 350 ft2. If Jessica plans to put 2 coats of paint on the walls, how many gallons of paint should she purchase?

a)

1

b)

2

c)

3

d)

4

11.

A cube has an edge length of 9 inches. What is the surface area of the cube?

a)

81 in2

b)

108 in2

c)

486 in2

d)

729 in2

12.

The square pyramid below has a height of 20 cm. What is the volume of the square pyramid?

a)

1,500 cm3

b)

2,000 cm3

c)

2,250 cm3

d)

4.500 cm3

13.

Daniel painted the exterior of a wooden 7-cm cube. He did not paint the bottom of the cube. How much area of the cube did Daniel paint?

a)

196 cm2

b)

245 cm2

c)

294 cm2

d)

343 cm2

14.

Mr. McNeely has a wooden box in the shape of a right rectangular prism. The box measures 2 ft by 3 ft by 2.8 ft . What is the surface area of the box?

a)

15.6 ft2

b)

16.8 ft2

c)

20 ft2

d)

40 ft2

15.

Martha wants to put carpet in a rectangular room that measures 14 feet by 16 feet. There is a section in front of the door which measures 3 feet by 4 feet that will remain tiled. How many square feet of carpet will Martha need?

a)

236 ft2

b)

224 ft2

c)

217 ft2

d)

212 ft2

16.

The figure below shows a triangular-shaped garden located inside a rectangular-shaped, grassy yard. What is the area of the grassy yard?

a)

480 m2

b)

384 m2

c)

360 m2

d)

336 m2