Question

a solid cubical block of fine wood costs Rs 256 at Rs 500 per meter cube . find it volume and the length of each side.

Answer 1

cost of 1m³ of cloth =Rs.500
cost of the cube=Rs.256

vol. of cube=cost of cube/cost of 1m³ cloth
vol.of cube=256/500
=0.512m³
=0.512*1000000 cm³
=512000cm³

side of cube=∛512000
=80cm.

colume of cube is 512000cm³ and length of each side is 80cm.

Answer 2

According to question,

Cost of one m³ of cloth = Rs 500

Cost of the cube =256 RS

Therefore, volume of the cube = cost of the cube/ cost of 1m³ of cloth

= 256/500m³

= 0.512m³

Now to convert it into cm³ we multiply 1000000 to it.

Thus, 0.512m³ = 0.512 x 1000000 = 512000cm³

So we have the volume as 512000cm³. Thus the length of the side of the cube = ∛512000

= 80cm.