Question

The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.

Answer 1

(100,1) (50,2) (25,4) (20,5) (10,10)

Explanation:

Given

`V = l * w * h`

`h = 10cm`

`V = 1000cm^3`

Required

Determine the possible values of l and w

We start by substituting 1000 for V and 10 for h in t he given formula

`V = l * w * h`

`1000 = l * w * 10`

Divide both sides by 10

`100 = l * w`

Reorder

`l * w = 100`

This implies that when the value of l and w are multiplied together, the result is always 100.

Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more