a rectangular prism has a volume of 1374.28 inches . The prism is 9.4 inches wide and 17.2 inches long. What is the height?

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definegreatness definegreatness · Answer 1 · 2017-05-02T03:22:40+02:00

V=bh

1374.28in^3= (9.4*17.2=b) * h

1374.28in^3= 161.68in^2 * h

1374.28in^ ÷ 161.68in^2 = h

8.5in = h
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Do you understand how I did that?

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MrRoyal MrRoyal · Answer 2 · 2022-04-22T12:30:21+02:00

The height of the rectangular prism is 8.5 inches

The given parameters are:

The volume of a rectangular prism is:

Volume = Length * Width * Height

So, we have:

1374.28 = 17.2 * 9.4 * Height

Evaluate the product

1374.28 = 161.68 * Height

Divide both sides by 161.68

Height = 8.5

Hence, the height of the rectangular prism is 8.5 inches