# 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 .

2
by karvandnig

2015-11-04T19:20:49+05:30

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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.
2015-11-04T19:58:32+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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