How many square metres of carpet will be required for a square room of side 6.5 m to be carpeted.

Find the length of each side of a cube if its volume is 512 cm³.

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

Find the side of a square whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.