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Strike441 [17]
2 years ago
7

A rectangular piece of metal is 8 in. longer than it is wide. Squares with sides 3 in. long are cut from the four​ corners, and

the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 76 in. cubed​?
Mathematics
1 answer:
Leviafan [203]2 years ago
7 0

Answer:

Let the width be = w

The length will be = w+8

And height = 3 inches

Volume = l x w x h

76=w(w+8)(3)

=> 76=(w^{2}+8w)3

=> 76=3w^{2}+24w

=> 3w^{2}+24w-76=0

Solving this we get w = 2.43 inch or w = -10.43 inch

Neglecting the negative value, we get w = 2.43 inches.

And l=2.43+8=10.43 inches

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