Question

Each dimension of a rectangular prism is increased by 10%. What percent of the original volume is the volume of the new prism?

Answer 1

let the three dimension be x,y,z where original volume = x*y*z
when all dimensions are increased by 10%, the new dimension of the prism will be
1.1x,1.1y,1.1z
and thus volume of new prism = 1.1x * 1.1y * 1.1z
= 1.331 * x *y* z
So percent of the original volume is the volume of the new prism
= xyz / ( 1.331 xyz) * 100%
= 1/1.331 * 100%
=75.13%

Answer 2

These are my only possible answers..

00.1 percent

133.1 percent

121 percent

1 percent

Answer 3

oops , i placed the denominator and numerator in the wrong place sorry :)
So percent of the original volume is the volume of the new prism
= ( 1.331 xyz) / xyz * 100%
= 1.331 * 100%
=133.1%