The dimensions of cuboid are in the ratio $3 : 2 : 1$ . Its volume is $1296 m^{3}$ . Find its height.

6 m

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0.8 m

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6 c m

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None of these

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Solution

The correct option is A $6 m$
Let $l = 3 x_{1}, b = 2 x_{1}, h = x$
$∴$ Volume of cuboid = $l b h$
$\Rightarrow 3 x \times 2 x \times x = 1296 m^{3} \Rightarrow x^{3} = 216$
$\Rightarrow x = \sqrt[3]{216} = 6 m$
$∴$ $l = 18 m, b = 12 m, h = 6 m$

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The dimensions of cuboid are in the ratio 3:2:1. Its volume is 1296m3. Find its height.

The correct option is A 6mLet l=3x1,b=2x1,h=x∴ Volume of cuboid = lbh⇒3x×2x×x=1296m3⇒x3=216⇒x=3√216=6m∴ l=18m,b=12m,h=6m

The dimensions of cuboid are in the ratio $3 : 2 : 1$ . Its volume is $1296 m^{3}$ . Find its height.

The correct option is A $6 m$
Let $l = 3 x_{1}, b = 2 x_{1}, h = x$
$∴$ Volume of cuboid = $l b h$
$\Rightarrow 3 x \times 2 x \times x = 1296 m^{3} \Rightarrow x^{3} = 216$
$\Rightarrow x = \sqrt[3]{216} = 6 m$
$∴$ $l = 18 m, b = 12 m, h = 6 m$