Find the volume of the figure shown in cubic feet. Round to the nearest tenth in feet.
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Answer:
900 cubic inches
Step-by-step explanation:
The formula for the volume of a rectangular prism is: base x height x width
The formula for the volume of a triangular prism is: 1/2 x base x height x width
When you plug in the numbers for the first formula you get:
12in. x 10in. x 5in. = 600 in^3
For the prism:
1/2 x (24in. - 12in.) x 10in. x 5in. = 1/2 x 12in. x 10in. x 5in. = 300 in^3
Now add the two volumes:
600in^3 + 300in^3 = 900in^3