The base of a prism is a rectangle. The length of the rectangle is 4 7/8


inches, and the width of the rectangle is 5 inches. The height of the prism is 12 1/2


inches. Which calculation gives the volume of the prism?

1 answer

To calculate the volume of a prism, you need to multiply the area of the base by the height of the prism.

First, calculate the area of the rectangle base:
Area = length * width
Area = (4 7/8 inches) * (5 inches)
Area = (39/8 inches) * (5 inches)
Area = 195/8 square inches
Area = 24 3/8 square inches

Next, multiply the area of the base by the height of the prism:
Volume = area of base * height
Volume = (24 3/8 square inches) * (12 1/2 inches)
Volume = (195/8 square inches) * (25/2 inches)
Volume = (4875/8) cubic inches
Volume = 609 3/8 cubic inches

Therefore, the volume of the prism is 609 3/8 cubic inches.