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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 lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?

A1.5 in3
B5.8 in3
C52 in3
D64 in3

Verified Answer :

The correct answer is this one: "C) 52 in3."

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
Volume = (8) (6) (1) = 48
Let x = 0.5
Volume = (9) (7) (.5) = 31.5

The Correct answer is A I took the test

Step-by-step explanation:

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