Question

the volume of a cuboid is 1536m square .it's length is 16m and it's breadth and height are in the ratio 3:2 .find the breadth and height of the cuboid .

Answer 1

Given : 
Cuboid
Length = 16m 
Volume of the cuboid = 1536 m²
Ratio of breadth and height = 3:2
Let the breadth and height of the cuboid be `3x` m and `2x` m respectively.
∴volume of the cuboid = lbh
⇒16* 3x* 2x = 1536m²
⇒16* 6x² = 1536m²
⇒96x² = 1536m²
⇒x² = 1536m²/96
⇒x² = 16m²
⇒x = √16m²
⇒x =4m
theirfore breadth of the cuboid = 3x = 3* 4 = 12m
And the  height of the cuboid = = 2x = 2* 4 = 8m.

Answer 2

The length of the cuboid = 16 m
Let the breadth and height of the cuboid be 3x and 2x respectively
The volume of the cuboid = 1536 m³
A/q,
=> Volume of cuboid = 1536
=> l * b * h = 1536
=> 16 * 3x * 2x = 1536
=> 6x² = 1536/16
=> x² = 96/6
=> x² = 16
=> x  = √16
=> x = √4 * 4
=> x = 4
Therefore , the breadth of the cuboid = 3x = 3(4) = 12m
and the height of the cuboid = 2x = 2(4) = 8m