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A concrete pile from a waterfront pier was pulled from the harbor water at Port Hueneme, California. Its dimensions were 14 in. X 14 in. X 15 ft (1 in. = 2.54 cm).

a. What is the surface area, expressed in square feet, of a single face of the pile? Exclude the ends of the pile.

b. Determine the total surface area, expressed in square meters, of the pile, including the ends of the pile.

c. How many cubic meters of concrete were used to make the pile?

Respuesta :

MrRoyal

The total surface area, expressed in square meters, of the pile, including the ends of the pile is 0.78 square meters and the cubic meters of concrete were used to make the pile is 0.05 cubic inches

a. What is the surface area, expressed in square feet, of a single face of the pile?

The dimensions are given as:

14 in. X 14 in. X 15 in

The surface areas of the faces are:

Face 1 =(14 * 14) = 196 square inches = 1.36 square feet

Face 2 =(14 * 15) = 210 square inches = 1.46 square feet

The total surface area, expressed in square meters, of the pile, including the ends of the pile.

This is calculated as:

Total surface area = 2 * (14 * 14 + 14 * 15 + 14 * 14)

Evaluate

Total surface area = 1204 square inches

Total surface area = 0.78 square meters

c. How many cubic meters of concrete were used to make the pile?

This is calculated as:

Volume = Length * Width * Height

So, we have

Volume = 14 * 14 * 15

Volume = 2940 cubic inches

Volume = 0.05 cubic inches

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