Question

Amitabh wants to make a mold for a candle.She wants the shape of a candle to be a rectangular prism with a volume of exactly 28 cubic centimeters. She wants the sides to be in whole centimeters .How many molds can she make

Answer 1

So there are 10 possible molds with different dimension in centimeters, but the volume remain SAME as follows.

`Length, Width, Height\\28,1,1\\1,1,28\\14,2,1\\1,14,2\\1,2,14\\7,4,1\\4,1,7\\7,1,4\\7,2,2\\2,2,7`

Explanation:

Given:

Molding of a Candle to be done

The shape of a candle to be a rectangular prism,

Volume of rectangular prism = 28 cubic centimeters

To Find:

How many molds can she make = ?

Solution:

Volume of rectangular prism is given as

`\textrm{Volume of rectangular prism}=Length* Width* Height`

It is given,

Volume of rectangular prism = 28 cubic centimeters

We are looking for whole numbers that multiply to 28.

So there are 10 possible molds with different dimension in centimeters, but the volume remain SAME as follows.

`Length, Width, Height\\28,1,1\\1,1,28\\14,2,1\\1,14,2\\1,2,14\\7,4,1\\4,1,7\\7,1,4\\7,2,2\\2,2,7`