1.

The volume of a cube is 1/8 p^3+ 1/4 p^2q + 1/6 pq^2 + 1/27 q^3 find the dimensions of the cube.

Answer»

Solution:

VOLUME of the cube = s^3

Given: 1/8 p^3+ 1/4 p^2q + 1/6 pq^2 + 1/27 q^3.

Using identity (x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3

Then

1/8 p^3+ 1/4 p^2q + 1/6 pq^2 + 1/27 q^3

= (1/2p + 1/3q)^3


Therefore, the DIMENSIONS the cube is
(1/2p + 1/3q)

Hope this will be HELPFUL to you.





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