Volume Unit Test

12 of 1512 of 15 Items

Question
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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1 answer

To find the volume of the composite figure, we need to add the volumes of the three rectangular prisms together.

Volume of side prism: 16 inches x 7 inches x 7 inches = 784 cubic inches
Volume of center prism: 10 inches x 8 inches x 7 inches = 560 cubic inches

Now, add the volumes together:

784 cubic inches (side prism) + 560 cubic inches (center prism) + 784 cubic inches (side prism) = 2128 cubic inches

Therefore, the volume of the composite figure is 2128 cubic inches.
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