The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc.

Find the breadth.

15 cm

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10 cm

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12 cm

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9 cm

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Solution

The correct option is C
12 cm

Let the Length , Breadth and height be 5x , 3x and 4x respectively

If the Block is rectangular then it is a cuboid.

Volume of cuboid is = lbh

3840 = 5x $\times$ 3x $\times$ 4x

$\Rightarrow$ 60 $x^{3}$ = 3840

$\Rightarrow$ $x^{3}$ = $\frac{3840}{60}$ = 64

$\Rightarrow$ $x$ = 4 cm

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

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The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc. Find the breadth.

The correct option is C 12 cm Let the Length , Breadth and height be 5x , 3x and 4x respectively If the Block is rectangular then it is a cuboid. Volume of cuboid is = lbh 3840 = 5x × 3x × 4x ⇒ 60 x3 = 3840 ⇒ x3 = 384060 = 64 ⇒ x = 4 cm Breadth = 3x = 3×4 = 12 cm

The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc.

Find the breadth.