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