The volume of a cuboid is $1536 m^{3}$ .Its length is $16 m$ , and its breadth and height are in the ratio $3 : 2$ . Find the breadth and height of the cuboid.

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Solution

Given,

Volume $= l b h$ $= 1536 m^{3}$

Length $= 16 m$

Let breadth $= 3 x$ and height $= 2 x$

Volume of a cuboid $= l b h$

$\Rightarrow 1536 = 16 \times 3 x \times 2 x$

$\Rightarrow 1536 = 96 x^{2}$

$\Rightarrow x = 4 m$

Therefore,

Breadth $= 3 x = 3 \times 4 m = 12 m$

Height $= 2 x = 2 \times 4 m = 8 m$

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The volume of a cuboid is 1536 m3.Its length is 16 m, and its breadth and height are in the ratio 3:2. Find the breadth and height of the cuboid.

Given, Volume =lbh=1536 m3 Length =16 m Let breadth =3x and height =2x Volume of a cuboid =lbh ⇒1536=16×3x×2x ⇒1536=96x2 ⇒x=4m Therefore, Breadth =3x=3×4m=12m Height =2x=2×4m=8m

The volume of a cuboid is $1536 m^{3}$ .Its length is $16 m$ , and its breadth and height are in the ratio $3 : 2$ . Find the breadth and height of the cuboid.