Question

A rectangular prison has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectivly the volume of the rectangular prism

Answer 1

Volume of rectangular prison having length, width, and height of
`(2)/(3) \text { inch }`,
`(3)/(5) \text { inch }`, and
`(4)/(7) \text { inch }`, respectively is
`(8)/(35) \text { cubic inches }`

Solution:

Given that

Length of rectangular prison =
`(2)/(3) \text { inch }`

Width of rectangular prison =
`(3)/(5) \text { inch }`

Height of rectangular prision =
`(4)/(7) \text { inch }`

Need to determine volume of rectangular prison having shape of rectangular prism.

`\text { Volume of rectangular prism (cuboid) }=\text { length } \mathrm{x} \text { width } \mathrm{x} \text { height }`

So volume of rectangular prison =
`\text { length } \mathrm{x} \text { width } \mathrm{x} \text { height of rectangular prison }`

`\Rightarrow \text { Volume of rectangular prison }=(2)/(3) * (3)/(5) * (4)/(7) \text { cubic inches }`

Volume of rectangular prison =
`(8)/(35) \text { cubic inches }`