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Question:

# Adam is painting the inside walls of a 4-walled shed. The shed is 5 feet wide, 4 feet deep, and 7 feet high. How much paint will Adam need?

A $126 ft^2$
explanation

To calculate the amount of paint Adam will need to paint the inside walls of the shed, we need to find the total surface area of the walls.

The shed has four walls: two side walls, a back wall, and a front wall. The height (h) of the shed is 7 feet.

The side walls have dimensions of 7 feet (height) and 5 feet (width), so the surface area of each side wall is 7 feet × 5 feet = 35 square feet.

The back wall has dimensions of 7 feet (height) and 4 feet (depth), so the surface area of the back wall is 7 feet × 4 feet = 28 square feet.

The front wall is identical to the back wall, so it also has a surface area of 28 square feet.

To find the total surface area, we add up the surface areas of all four walls:

Total surface area = 2(side walls) + back wall + front wall
= 2(35 square feet) + 28 square feet + 28 square feet
= 70 square feet + 28 square feet + 28 square feet
= 126 square feet
Therefore, Adam will need 126 square feet of paint to cover the inside walls of the shed.

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