Quiz about Surface Area and Volume Word Problems

Question 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?

Accepted Answer

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

Answer

$$V=\pi r^2h$$

Answer

$$V=lwh$$

Answer

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

Question 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?

Accepted Answer

$$V=\pi r^2h$$

Answer

$$V=lwh$$

Answer

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

Answer

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

Question 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?

Accepted Answer

$$V=lwh$$

Answer

$$V=\pi r^2h$$

Answer

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

Answer

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

Question 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?

Accepted Answer

Surface Area

Answer

Volume

Question 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?

Accepted Answer

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

Answer

$$V=\pi r^2h$$

Answer

$$V=lwh$$

Answer

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

Question 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?

Accepted Answer

Answer

$$V=\pi r^2h$$

Answer

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

Answer

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

Question 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?

Accepted Answer

$$V=\pi r^2h$$

Answer

Answer

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

Answer

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

Question 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?

Accepted Answer

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

Answer

$$SA=lw+lh+wh$$

Answer

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

Answer

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

Question 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?

Accepted Answer

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

Answer

$$V=\pi r^2h$$

Answer

$$V=lwh$$

Answer

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

Question 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?

Accepted Answer

4096 cubic meters

Answer

48 cubic meters

Answer

256 cubic meters

Answer

25,600 cubic meters

Question 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?

Accepted Answer

117.75 inches ²

Answer

119.5 inches ²

Answer

122.75 inches ²

Answer

78.5 inches ²

Question 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?

Accepted Answer

80

Answer

15

Answer

40

Answer

16

Question 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?

Accepted Answer

6 in

Answer

2 in

Answer

198 in3

Answer

7,350 in3

Question 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?

Accepted Answer

Bucket B

Answer

Bucket A

Question 15

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

Accepted Answer

37.7 in3

Answer

6 in3

Answer

18.8 in3

Answer

18 in3

Surface Area and Volume Word Problems

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