Question

A rectangular prism is 11 feet long and 5 feet wide. Its volume is 275 cubic feet. What is the height of the rectangular prism?

Answer 1

Explanation:

the volume of such a prism is

length × width × height

therefore, based on what we are given :

275 = 11 × 5 × height = 55 × height

height = 275 / 55 = 5 ft

Answer 2

`\sf \textsf{height} = 5 ft`

Explanation:

The volume (
`\sf V`) of a rectangular prism is given by the formula:

`\sf V = \textsf{length} * \textsf{width} * \textsf{height}`

In this case, we're given the (
`\sf \textsf{length} = 11`), the (
`\sf \textsf{width} = 5`), and the volume (
`\sf V = 275`).

Substitute in these values into the formula and solve for the height (
`\sf \textsf{height}`):

`\sf 275 = 11 * 5 * \textsf{height}`

First, find the product of 11 and 5:

`\sf 275 = 55 * \textsf{height}`

Now, solve for
`\sf \textsf{height}` by dividing both sides of the equation by 55:

`\sf \textsf{height} = (275)/(55)`

`\sf \textsf{height} = 5`

Therefore, the height of the rectangular prism is 5 feet.