Surface Area Application

If the square pyramid needed to be repainted, how much area would need to be covered?

• 9 sq ft

• 12 sq ft

• 30 sq ft

• 39 sq ft

What is the slant height of a cone if the radius is 2.5 inches and the surface area is 58.875 square inches? (Fill in the blank with the value only; do not label.)

Find the height of a cylinder if the surface area is 408.41 square inches and the radius is 5

inches.

• 16 in

• 32 in

• 8 in

• 4 in

Find the surface area of the figure below. Round to the nearest tenth.

• 819.4 square inches

• 725.4 square inches

• 1019.7 square inches

• 732 square inches

Find the surface area of the rectangular prism with the following dimensions: 
length = 9 m
height = 10 m
width = 12 m

• 630 m squared

• 636 m squared

• 710 m squared

• 1080 m squared

Answer explanation

To find the surface area of a rectangular prism, use the formula 2lw + 2lh + 2wh. Substituting the given values, we get 2(9)(10) + 2(9)(12) + 2(10)(12) = 636 m squared.

A new refrigerator comes packaged in a box shaped like a rectangular prism. The base of the box measures 4 feet by 5 feet. The total surface area of the box is 148 square feet. What is the height of the box in feet?

Mathematical Equivalence

ON

Find the total surface area of the prism.

• 161 square feet

• 1,700 square feet

• 75 square feet

• 186 square feet

Answer explanation

The correct answer is 161 square feet because the total surface area of a prism is calculated by adding the areas of all its faces, which in this case equals 161 square feet.

Find the lateral surface area of the figure shown.

• 672 cm²

• 480 cm²

• 576 cm²

• 864 cm²

Answer explanation

To find the lateral surface area, calculate the perimeter of the base (2(8+10)) and multiply by the slant height (24). So, 2(8+10) * 24 = 480 cm^2.

Job: Painter - A room is 13 feet long, 11 feet wide, and 10 feet high. In the room, there are three windows that are each 4 feet wide and 5 feet tall. If one gallon of paint covers 350 square feet, how many gallons of paint do you need to paint the walls and door of the room? 

Would you need to calculate volume or surface area?  How do you know?

• surface area - painting the room (walls & door)

• volume - filling the room with paint

Air Conditioning Specialist

A closed rectangular tank 60 inches by 20 inches by 10 inches must be covered inside with sheet copper lining. How much needs to be covered?

Surface Area or Volume?

• Surface Area

• Volume