Question

A rectangular prism has a volume of 60 cubic centimeters. If you triple the length of this rectangular prism, what will its new volume be? A rectangular prism has a volume of 60 cubic centimeters. If you triple the length of this rectangular prism, what will its new volume be?

216,000 cm3


63 cm3


20 cm3


180 cm3

Answer 1

Explanation:

the volume of such an object is created by multiplying the 3 side length dimensions :

length × width × height.

if you triple one of them, then you bring that factor 3 one time into the volume multiplication, and the volume also triples .

in our case that is 60×3 = 180.

FYI

if you would triple fire example all 3 dimension lengths, you would bring that factor 3 into the volume multiplication 3 times (once for every dimension).

and so the volume would increase by the factor

3×3×3 = 27.