the edges of two cubes are 4cm and 6cm. find the ratio of their volume.
64:216 = 8:27
the sides are in the ratio 6/4
the volumes are in the ratio (6/4)^3
To find the ratio of the volumes of two cubes, we need to compare their side lengths. The cube with a side length of 4 cm has a volume of 4^3 = 64 cm^3, while the cube with a side length of 6 cm has a volume of 6^3 = 216 cm^3.
So, the ratio of their volumes is 64 cm^3 : 216 cm^3, or simply 64:216.
To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which is 8.
64 ÷ 8 = 8 and 216 ÷ 8 = 27, so the simplified ratio is 8:27.
Therefore, the ratio of the volumes of the two cubes is 8:27.