A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism and explain how you found it.

The volume of rectangular prism = length x height x width
so sub in the above equation we get
840 = length x 6 x 10
length = 840 /(60 x 10)
length = 14 inches

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-03-31T13:59:28+02:00

The length of the rectangular prism which has the volume of 840 cubic inches is 14 in.

What is of volume of rectangular prism?

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

[tex]V=w\times h\times l[/tex]

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A rectangular prism has a volume of 840 cubic inches. In this prism,

The height of the prism is 6 inches
The width is 10 inches.

Let suppose l is the length of the rectangular prism. Plug in these values in the above formula as,

[tex]V=w\times h\times l\\840=10\times6\times l\\l=\dfrac{840}{10\times6}\\l=14\rm\; in[/tex]

Thus, the length of the rectangular prism which has the volume of 840 cubic inches is 14 in.

Learn more about the volume of a rectangular prism here;

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