Question

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Answer 1

`1.\ 1323\ ft^3\\\\2.\ 1760\ cm^3\\\\3.\ 1150.38 \ yd^3\\\\4.\ 9248\ in^3`

Explanation:

1. The volume of a rectangular prism is given by the formula :

`V=lwh\\\\l=length\\w=width\\h=height\\`

Given the prisms dimensions as 9ft, 21ft and 7 ft, it's volume is calculated as:

`V=lwh\\\\=21* 9* 7\\\\=1323 \ ft^3`

2. We apply the volume formula given in a above: V=lwh.

-The prisms dimensions are given as 11cm , 8cm and 20cm, it's volume is thus calculated as;

`V=lwh\\\\=11cm * 8cm* 20cm\\\\=1760\ cm^3`

3.We apply the formula for finding a prism's volume from 1 above, V=lwh

-The prisms dimensions are given as 16.6yd, 3yd and 23.1yd. The volume is thus calculated as:

`V=lwh\\\\=3yd* 23.1yd * 16.6yd\\\\=1150.38 \ yd^3`

4. As from 1 above, we apply the volume formula, V=lwh.

-The prisms dimension is given as 17 in , 17 in and 32in. It's volume is:

`V=lwh\\\\=17in * 17\ in * 32in\\\\=9248 \ in^3`