A rectangular prism has a base that is 5 cm by 7 cm and a height of 12 cm. If all dimensions are doubled, what happens to th
volume?
When the dimensions are doubled, the volume is twice the original volume.
When the dimensions are doubled, the volume is three times the original volume.
When the dimensions are doubled, the volume is four times the original volume.
When the dimensions are doubled, the volume is eight times the original volume.

When the dimensions are doubled, the volume is eight times the original volume.

Step-by-step explanation:

Volume of rectangular prism is given by

volume = length * width * height.

Given

Dimension of prism 5 cm by 7 cm and a height of 12 cm

Volume of prism = 5 * 7* 12 = 420 cubic cm.

If all the sides are doubled them dimension are

5*2 cm= 10 cm

7*2 cm= 14 cm

12*2 cm= 24 cm

Thus , new volume = 10*14*24 cubic cm = 3,360 cubic cm

3,360 cubic cm  can be written as 420* 8  cubic cm

3,360 cubic cm = 420* 8  cubic cm

Thus, option 4 i.e When the dimensions are doubled, the volume is eight times the original volume is correct option.

no, because the sides are not congruent