By what factor do the sides of a rectangular prism increase if the volume increases from 12 in3 to 4116 in3 ?
2
5
3
7

The answer here is 7. Divide 4116 by 12 to know how many times it increase. Please take note that this is not yet the answer since we are dealing with 3 dimensional figure. It means the volume is increased by cube. Evaluating the given, we will have 4116 / 12 = 343, we will get the 3rd root of this since we are considering 3 sides - length, width and height. The cube root of 343 is 7.

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )