The volume of a cube is 9261000 m3. Find the side of the cube.

Volume of cube = 9261000 m3Let the side of cube = a metreSo,= = = Hence, the side of cube = 210 metre

Q9 of 76 Page 4

The volume of a cube is 9261000 m³. Find the side of the cube.

Volume of cube = 9261000 m³

Let the side of cube = a metre

So,

Hence, the side of cube = 210 metre

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also, find the cube root of the quotient so obtained.

Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the numbers.

Find the cube roots of each of the following integers:

(i)-125 (ii) -5832

(iii)-2744000 (iv) -753571

(v) -32768

Show that:

(i)

(ii)

(iii)

(iv)