A rectangular prism has a length of 4", a width of 8", and a height of 12". If both the length and height double, how many times larger is the new volume than the original volume?

Question

A rectangular prism has a length of 4", a width of 8", and a height of 12".  If both the length and height double, how many times larger is the new volume than the original volume?

campbell_st · Answer

find the volume of the given prism

$$V_{0} = 4 \times 8 \times 12 $$

now  double the measurements of length , now 8"  and height now 24"

and calculate the volume 

$$V_{1} = 8 \times  8 \times 24$$

then the comparison will be 


$$\frac{V_{1}}{V_{0}} = $$