Answer:
[tex]1.\ 1323\ ft^3\\\\2.\ 1760\ cm^3\\\\3.\ 1150.38 \ yd^3\\\\4.\ 9248\ in^3[/tex]
Step-by-step explanation:
1. The volume of a rectangular prism is given by the formula :
[tex]V=lwh\\\\l=length\\w=width\\h=height\\[/tex]
Given the prisms dimensions as 9ft, 21ft and 7 ft, it's volume is calculated as:
[tex]V=lwh\\\\=21\times 9\times 7\\\\=1323 \ ft^3[/tex]
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;
[tex]V=lwh\\\\=11cm \times 8cm\times 20cm\\\\=1760\ cm^3[/tex]
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:
[tex]V=lwh\\\\=3yd\times 23.1yd \times 16.6yd\\\\=1150.38 \ yd^3[/tex]
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:
[tex]V=lwh\\\\=17in \times 17\ in \times 32in\\\\=9248 \ in^3[/tex]
