Question

A box is to be constructed with a rectangular base and a height of h cm. The length, L, of the box is 10cm, and the width, w, is twice the height. Which quadrtic equation best models the volume of the box?

Answer 1

Answer:
`V=20h^(2)`

Explanation:

1. The formula for calculate the volume of a rectangular prism is:

`V=L*w*h`

Where L is the lenght, w is the width and h is the height.

2. Based on the information given in the problem:

Length=L=10

width=w=
`2h`

height=
`h`

3. Then, you can write the following expression:

`V=(10)(2h)(h)`

`V=10(2h^(2))\\V=20h^(2)`