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What is the volume and surface area of a rectangular prism that is 8 ft long, 7 ft wide, and 5 ft tall?

Select all the correct answers.

Respuesta :

Answer:

Volume = 280 cubic feet, Surface Area = 304 square feet

Step-by-step explanation:

Volume:

1. The volume of a rectangular prism is calculated by multiplying its length, width, and height. The formula for volume is V = l x w x h, where l is the length, w is the width, and h is the height.

2. Substitute the given values into the formula: V = 8 ft x 7 ft x 5 ft = 280 cubic feet.

3. Therefore, the volume of the rectangular prism is 280 cubic feet.

Surface Area:

1. To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then sum them up.

2. The formula for the surface area of a rectangular prism is SA = 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height respectively.

3. Substitute the given values into the formula: SA = 2(8 ft x 7 ft) + 2(8 ft x 5 ft) + 2(7 ft x 5 ft) = 154 + 80 + 70 = 304 square feet.

4. Therefore, the surface area of the rectangular prism is 304 square feet.