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A cardboard box has the shape of a rectangular prism. Its height is 10
inches. Its length is three times its width. The volume is 540 cubic inches.
Find the width of the box. *

Respuesta :

mohamedaweys31

Answer

Step-by-step explanation:

H*W*L

280=7*W*(6+W)

280=42W+7W^2

40=6w+w^2

W^2+6W-40=0

(W-4)(W+10)=0

W=4

We can only use positive results

L=6+W

L=4+6=10

Given that, the height of the cardboard box=10 inches and volume = 540 cubic inches.

Let the width of the cardboard box be x, then the length will be 3x.

What is the formula to find the volume of a rectangular prism?

The formula to find the volume of a rectangular prism is Volume=Length×Width×Height.

Now, 540=10×x×3x

⇒x²=18

⇒x=3√2 inches.

Therefore, the width of a cardboard box is 3√2 inches.

To learn more about a rectangular prism visit:

https://brainly.com/question/21308574.

#SPJ2

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