One dimension of a cube is increased by 1 inches to form a rectangular block. supposed that the volume of the new block is 150 cubic inches.
find the length of an edge of the origin

Length of edge of original block =5 inches

Step-by-step explanation:

We are given that one dimension of a cube is increased by  1 inches to form a rectangular block.

Volume of new block means rectangular block=150 cubic inches

We have to find the value of edge of the original block

Let edge length of original block=x

Length of rectangular block=x+1

Breadth of rectangular block=x

Height of rectangular block=x

Volume of rectangular block=

Substitute the values then we get

x=5 and

For second quadratic equation

Therefore, the roots of second quadratic equation are imaginary .

It is not possible, because we are finding length of edge of original block. Length  is always is a natural number.

So, we take x=5 only

Hence,length of an edge of original block=5 inches

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