Question

2

A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively.
The volume of the rectangular prism is
24/105
cubic inch.

Answer 1

The volume of rectangular prism is
`(24)/(105)` inches³

Explanation:

Given as :

The Length of rectangular prism = L =
`(2)/(3)` inches

The Breadth of rectangular prism = B =
`(3)/(5)` inches

The Height of rectangular prism = H =
`(4)/(7)` inches

Let The volume of rectangular prism = V inches³

A rectangular prism is a 3-D figure with 6 faces

Now, From formula of rectangular prism

Volume = Length × width × height

Or, V = L × B × H

Or, V =
`(2)/(3)` inches ×
`(3)/(5)` inches ×
`(4)/(7)` inches

or, V =
`(2* 3* 4)/(3* 5* 7)` inches³

or, V =
`(24)/(105)` inches³

So, The volume of rectangular prism = V =
`(24)/(105)` inches³

Hence The volume of rectangular prism is
`(24)/(105)` inches³ Answer