Question

Question
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An illustration shows an inverted U-shaped structure made up of three rectangular prisms. Two identical rectangular prisms are placed on either side of a center rectangular prism. The side prisms are 16 inches long, 7 inches wide, and 7 inches high. The prism placed in between the two rectangles is 8 inches wide and 10 inches long.

What is the volume of the composite figure?

(1 point)
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Answer 1

To find the volume of the composite figure, we need to calculate the volume of each individual prism and then add them together.

The volume of a rectangular prism is calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.

For the two identical side prisms:
V = 16 inches x 7 inches x 7 inches = 784 cubic inches

For the center prism:
V = 8 inches x 10 inches x 7 inches = 560 cubic inches

Now, add up the volumes of all three prisms to find the total volume of the composite figure:
Composite figure volume = 784 cubic inches + 784 cubic inches + 560 cubic inches = 2,128 cubic inches

Therefore, the volume of the composite figure is 2,128 cubic inches.