Question

Shyam wants to make a solid brick shape structure from 400 wooden cubes of units volume each.
If the sides of the solid brick have the ratio 1: 2:3, then the maximum number of cubes, which
can be used, will be
a) 400
b) 288
c) 300
d)384​

Answer 1

Answer:

Let 4he side are x,2x,3x

v=(x)(2x)(3x)=6x

3

ATQ 6x

3

≤400⇒x

3

≤66

3

2

⇒x=64

∴ x=64

maximum number of cubes =6x

3

=6×64=384