Question

A certain quality of wood costs ₹ 67,500 per m³. A solid cubical block of such wood is bought for ₹ 4320. Calculate the volume of the block and find the length of one edge of the block.

Answer 1

We are given:

• Cost of wood per m³ = ₹67,500
• Total cost of the cubical block = ₹4,320

Calculate the volume of the block

Find the length of one edge (since it’s a cube, all edges are equal)

Step 1: Volume of the block

`"Volume" = "Total Cost"/"Cost per m"^3 = 4320/67500 = 0.064"m"^3`

Step 2: Find edge of the cube

Since it’s a cube:

Volume = `a^3 = a = root3(0.064) = 0.4` m

Convert to cm: 0.4 m = 40 cm