Surface Area Application

A packing company needs to know how much cardboard will be required to make boxes 18 inches long, 12 inches wide and 10 inches high.  How much cardboard will be needed if there is no overlap in the construction?

• 1032 inches ²

• 600 inches ²

• 432 inches ²

• 1632 inches ²

Answer explanation

To find the surface area of the box, calculate 2lw + 2lh + 2wh = 2(18*12) + 2(18*10) + 2(12*10) = 1032 inches^2

Find the surface area of the shape.

• 1750 square feet

• 1800 square feet

• 2000 square feet

• 2225 square feet

Answer explanation

The correct answer is 2225 square feet because the surface area of the shape was calculated to be that value.

How much wrapping paper would be required to wrap a gift box with a length of 16 in., a width of 8 in., and a height of 3 in. without any overlap?

• 384 in²

• 328 in²

• 400 in²

• 144 in²

Answer explanation

To calculate the amount of wrapping paper needed, find the surface area of the box: 2lw + 2lh + 2wh. Plugging in the values gives 2(16*8) + 2(16*3) + 2(8*3) = 400 in^2.

• A

• B

• C

• D

How much paper would be needed to put a label around this can? Round to the nearest tenth.

• 418.2 sq cm

• 325.7 sq cm

• 261.2 sq cm

• 83.2 sq cm

Find the total surface area that can be seen for the composite solid below. Round to the nearest tenth.

• 819.2 sq in

• 725.4 sq in

• 732 sq in

• 1019.7 sq in

Find the height of the glass cup if the surface area is 408.41 square inches and the radius is 5 inches.

• 7.5 in

• 8.5 in

• 9.5in

• 10.5 in

I am baking a rectangular prism shaped cake. The base of the cake is 8 inches by 12 inches and it is 6 inches tall. A tube of frosting covers 50 square inches of cake. How many tubes of frosting do I need if I plan to frost everything but the bottom?

• 5 tubes

• 6 tubes

• 7 tubes

• 8 tubes

What is the height of the brick if the total surface area is 650 square centimeters, the length is 5 centimeters, and the width is 9 centimeters?

• 14.4 cm

• 16.5 cm

• 18.6 cm

• 20.0 cm

A living room is 20 feet long, 50 feet wide, and 12 feet high. How much paint do you need to cover the walls?

• 1680 sq ft

• 2680 sq ft

• 3680 sq ft

• 4680 sq ft