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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?

User Dckuehn
by
8.0k points

1 Answer

5 votes

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)

User Berramou
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8.0k points