# 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 .

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by karvandnig

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by karvandnig

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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.

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.

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.