The dimensions of a rectangular prism are given as 4.5 cm, 7.5 cm, and 21 cm. Find the change in volume of the prism if the measures of the width and length are doubled?

1 Answer
Elias
Apr 17, 2018

#2126.25 cm^3#

Explanation:

The Volume of a rectangular prism is calculated using the formula #V=lwh#
So you original equation would look like
#V=(4.5)(7.5)(21)=708.75# #cm^3#
Assuming that 4.5 and 7.5 are the width and length, then simply double these numbers and plug them back into the equation.
#V=(9)(15)(21)= 2835 cm^3#
The final step is to subtract the original volume from the new volume...
#32835 cm^3-708.75 cm^3=2126.25 cm^3#

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