contestada

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?

Respuesta :

carlosego

Answer: [tex]V=20h^{2}[/tex]

Step-by-step explanation:

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

[tex]V=L*w*h[/tex]

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=[tex]2h[/tex]

height=[tex]h[/tex]

3. Then, you can write the following expression:

[tex]V=(10)(2h)(h)[/tex]

[tex]V=10(2h^{2})\\V=20h^{2}[/tex]