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Crazy boy [7]
3 years ago
12

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin

es, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?
A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3
Mathematics
1 answer:
ANEK [815]3 years ago
4 0
The correct answer is this one: "<span>C) 52 in3."
</span>
Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
<span>Volume = (8) * (6) * (1) = 48
</span>Let x = 0.5
<span>Volume = (9) * (7) * (.5) = 31.5
</span>
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