The ratio of the volumes of two cubes is 64:343
Find the ratio of their corresponding angles
To find the ratio of their corresponding angles, we need to find the ratio of the lengths of their sides first.
Let the side lengths of the two cubes be a and b.
The volume of a cube is given by V = a^3, so the ratio of their volumes is:
(64/343) = (a^3 / b^3)
a/b = (64/343)^(1/3)
a/b = 4/7
Now, the ratio of their corresponding angles is the same as the ratio of their side lengths.
Therefore, the ratio of their corresponding angles is 4:7.