If the sides of a box all double in length, by how much does its volume increase?
By a factor of 2
By a factor of 4
By a factor of 6
By a factor of 8
Explain your answer.
2 L * 2 B * 2H = 8 L B H
I am greater than 25. I am less than 45.i am a multiple of 2 and 6.i am a factor of 60.
To find out how the volume of a box changes when its sides double in length, we first need to understand the relationship between volume and side length.
The volume of a box is given by the formula V = l x w x h, where l, w, and h represent the lengths of the three sides of the box.
Now, if the sides of the box all double in length, we can write the new lengths as 2l, 2w, and 2h. Plugging these values into the volume formula, we get:
V' = (2l) x (2w) x (2h)
= 8(l x w x h)
Comparing this with the original volume V, we see that the new volume V' is 8 times greater than the original volume. Therefore, the volume of the box increases by a factor of 8.
So, the correct answer is "By a factor of 8."