Volume of rectangular prison having length, width, and height of [tex]\frac{2}{3} \text { inch }[/tex], [tex]\frac{3}{5} \text { inch }[/tex], and [tex]\frac{4}{7} \text { inch }[/tex], respectively is [tex]\frac{8}{35} \text { cubic inches }[/tex]
Solution:
Given that
Length of rectangular prison = [tex]\frac{2}{3} \text { inch }[/tex]
Width of rectangular prison = [tex]\frac{3}{5} \text { inch }[/tex]
Height of rectangular prision = [tex]\frac{4}{7} \text { inch }[/tex]
Need to determine volume of rectangular prison having shape of rectangular prism.
[tex]\text { Volume of rectangular prism (cuboid) }=\text { length } \mathrm{x} \text { width } \mathrm{x} \text { height }[/tex]
So volume of rectangular prison = [tex]\text { length } \mathrm{x} \text { width } \mathrm{x} \text { height of rectangular prison }[/tex]
[tex]\Rightarrow \text { Volume of rectangular prison }=\frac{2}{3} \times \frac{3}{5} \times \frac{4}{7} \text { cubic inches }[/tex]
Volume of rectangular prison = [tex]\frac{8}{35} \text { cubic inches }[/tex]
