To find the volume of the composite figure, we need to find the volume of each rectangular prism and then add them together.
The volume of a rectangular prism is calculated using the formula V = l x w x h, where l is the length, w is the width, and h is the height.
For the two side prisms:
V = 16 x 7 x 7 = 784 in^3
For the center prism:
V = 10 x 8 x 7 = 560 in^3
Total volume = 2(784) + 560 = 1568 + 560 = 2128 in^3
Therefore, the volume of the composite figure is 2128 in^3.
Use the image to answer the question.
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)
in.3
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