Question

Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?

1) double the original volume
2) triple the original volume
3) six times the original volume
4) nine times the original volume

Answer 1

The new volume is Nine time the original volume

Explanation:

Let the length be 'l'

Let the height be 'h'

Let the width be 'w'

Volume of a rectangular prism= l x w x h

New length = 1.5l

New width = 2w

New height= 3h

New volume= (1.5l) x (2w) x (3h)

= 9 (l x w x h)

New volume= 9 ( original volume)

The new volume is 9 time the original volume