The heights of 2 cuboids are in the ratio 3:7. Find the ratio of their volumes

Answer 1

Since the volumes of cuboids are directly proportional to the product of their dimensions, let the heights of the two cuboids be 3x and 7x respectively, where x is a constant.

Let the other dimensions of the cuboids be a, b, and c for the first cuboid and A, B, and C for the second cuboid.

Then the volumes of the cuboids are:

Volume of first cuboid = a * b * 3x = 3abx
Volume of second cuboid = A * B * 7x = 7ABx

Therefore, the ratio of the volumes of the two cuboids is:

(3abx)/(7ABx) = 3ab/7AB

So, the ratio of the volumes of the two cuboids is 3:7.