Free Printable Surface Area and Volume Word Problems

1.

Elena wants to paint her jewelry box blue. The jewelry box is in the shape of a cube and has an edge length of 4 in. How much blue paint will Elena need? Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

2.

Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker? Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

3.

Reynaldo builds a pool in his backyard. The pool measures 55 feet long, 28 feet wide, and 9 feet deep. How much water will fit in the pool? Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

4.

How much gift wrap is needed to cover a box which measures 3 feet by 2 feet by 3 feet?

Is the problem asking for SURFACE AREA or VOLUME?

a)

Volume

b)

Surface Area

5.

How much gift wrap is needed to cover a box which measures 3 feet by 2 feet by 3 feet? Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

6.

A package shaped like a cube has an edge that is 28 cm long. How much space is available to pack inside the box?

Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

7.

A cylindrical fish tank is 1 foot tall. The radius of the fish tank is 5 inches. How much water does it take to fill the tank?

Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

8.

Kissie needs to paint the top and sides of a rectangular prism. The prism has a length of 25 mm, a width of 15 mm, and a height of 9 mm. How much paint does she need to cover the top and sides? You need to adjust the formula since you will not paint the bottom. Which formula will you use?

a)

$SA=lw+2lh+2wh$

b)

$SA=lw+lh+wh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

9.

How many square feet of cardboard does Jessica need to make a rectangular prism with length of 16 inches, width of 9 inches, and height of 4 inches? Which formula will you use?

a)

$V=\pi r^2h$

b)

$V=lwh$

c)

$SA=2lw+2lh+2wh$

d)

$SA=2\pi r^2+2\pi rh$

10.

If all of the gold that was produced in the last 100 years was melted and formed into a cube, the cube would have an edge of 16 meters. What is the volume of the gold cube?

a)

48 cubic meters

b)

256 cubic meters

c)

4096 cubic meters

d)

25,600 cubic meters

11.

A soup can has a radius of 2.5 inches and a height of 5 inches. How much metal is needed to make the can?

a)

119.5 inches ²

b)

122.75 inches ²

c)

78.5 inches ²

d)

117.75 inches ²

12.

If you have a box of candy that is 8 inches long, 5 inches wide, and 2 inches tall, how much space do you have for candy?

a)

80

b)

15

c)

40

d)

16

13.

Kyle has a box that is 5 inches wide, 7 inches long, and a volume of 210 cubic inches. What is the height of the box?

a)

2 in

b)

198 in³

c)

7,350 in³

d)

6 in

14.

You have two cylindrical containers to hold popcorn. Bucket A has 15 in tall and has a radius of 5 in. Bucket B is 5 in tall and has a radius of 15 in. Which will hold more popcorn?

a)

Bucket A

b)

Bucket B

15.

A can of soda has a height of 3 in and a radius of 2 in. What is the capacity of the can?

a)

37.7 in³

b)

6 in³

c)

18.8 in³

d)

18 in³

Surface Area and Volume Word Problems

Total questions: 15

Worksheet time: 15mins

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