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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To find the volume of the composite figure, we need to find the volume of each rectangular prism individually and then add them up.
Volume of the side prisms:
Volume = length x width x height
Volume = 16 in x 7 in x 7 in = 784 in^3 (for each side prism)
Since there are two side prisms, the total volume of the side prisms is 2 x 784 in^3 = 1568 in^3
Volume of the center prism:
Volume = length x width x height
Volume = 10 in x 8 in x 7 in = 560 in^3
Total volume of the composite figure:
1568 in^3 (side prisms) + 560 in^3 (center prism) = 2128 in^3
Therefore, the volume of the composite figure is 2128 in^3.
are u sure thats correct
I apologize for the mistake in my previous response. Let's recalculate the volume of the composite figure:
Volume of side prisms:
Volume = length x width x height
Volume = 16 in x 7 in x 7 in = 784 in^3
Since there are two side prisms, the total volume of the side prisms is 2 x 784 in^3 = 1568 in^3
Volume of the center prism:
Volume = length x width x height
Volume = 10 in x 8 in x 7 in = 560 in^3
Total volume of the composite figure:
1568 in^3 (side prisms) + 560 in^3 (center prism) = 2128 in^3
Therefore, the correct total volume of the composite figure is 2128 in^3.