Question

The volume of cube is 1200 cubic cm find the volume of square pyramid of same height

Answer 1

To find the value of the edge and consequently the height of the cube, you find the cube root of the volume of the cube. 

Edge of the cube = ∛1200
                           

Find the volume of a square Pyramid of height ∛1200 the same as it base.

The volume of a pyramid = a²h/3
 in this case h=a therefore the volume will be given by a³/3

=    (∛1200)³ / 3
=   1200 / 3
= 400
 
 the volume of such pyramid = 400 cm³

Answer 2

Answer:

volume of cube=1200

i.e s*s*s=1200

volume of pyramid =1/3*A.of base *height

As it to square pyramid l=b=h= side of square

i.e (s*s*s)/3

we know s cube =1200

1200/3

=400