Question

Solve the problem.
Suppose that an open box is to be made from a square sheet of cardboard by cutting
out 2-inch squares from each corner as shown and then folding along the dotted lines.
If thebox is to have a volume of 128 cubic inches, find the original dimensions of the
sheet of cardboard.
xin.
x in.
-x
in.
- X in.
O
1) 8/2 in. by 81/2 in.
nit 1 Assignment....zip
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

The required dimension of the cardboard is 12 x 12 inches.

A box is formed by cutting of 2 inch squares from each corners of square card board. Volume of the box = 128 cubic inches, Original dimension of cardboard to be determine.

What is dimensions?

Dimension is define as the geometric characteristic of shape or object.

Let original length of the square cardboard is x.
After cut out of 2 inch squares the dimensions of box become (x-4),2,(x-4)

Volume of box =128
(x-4) * 2 * (x-4) = 128
(x-4)(x-4) = 64
       x - 4 = 8
      x = 12

Thus, the required dimension of the cardboard is 12 x 12 inches.

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