Question

A Certain quantity of wood costs Rs. 250 per $m^3$. A solid cuical block of such wood is bought for Rs. 182.25 . Calculate the volume of the block and sue the method of factors to find the length of one edge of the block.

Answer 1

Given cost of wood = 250 per meter cube

cost of which cube of wood bought=182.25

now volume of cube =$\frac{costofcube}{costofwood}$

volume =$\frac{182.25}{250}=0.729m^2$

now we know volume of cube =$a^3$

(0.729) =$(a{)}^3$

$a=(0.729{)}^{1/3}=[(0.9{)}^3{]}^{1/3}$

Hence edge of cube as 0.9 m