Question

A prism has a volume of 64. If the dimensions of the prism are tripled, what is the volume of the new prism?

A. 192
B. 2.37
C. 1728
D. 576

Answer 1

C 1728

Explanation:

since a volume always goes with the cubic (power of 3) units, tripling all dimensions (in all 3 dimensions / coordinate directions) puts this factor of 3 also to the power of 3 = 27

so, the volume increases by the factor of 27.

64×27 = 1728