Question

The width of a block of wood with rectangular cross-section is x cm. it's height is two- thirds its width and length is 4 times its height what is its volume in cm3?

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Answer 1

The height of the block is two-thirds of its width, so we have h = (2/3)x.

The length of the block is 4 times its height, so we have l = 4h = 4(2/3)x = (8/3)x.

The volume of the block is given by V = lwh, so substituting the values we have:

V = (8/3)x * x * (2/3)x = (16/81)x³

Therefore, the volume of the block is (16/81)x³ cubic cm.