The surface area of the three coterminous faces of a cuboid are $6, 15, 10$ sq. cm respectively. Find the volume of the cuboid.

30 {c m}^{3}

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20 {c m}^{3}

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40 {c m}^{3}

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35 {c m}^{3}

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Solution

The correct option is A $30 {c m}^{3}$
Let length, breadth and height of cuboid be $l, b$ and $h$ respectively then
$l b = 6$ , $b h = 15$ , $h l = 10$

$l b \times b h \times h l = 900$
${(l b h)}^{2} = 900 \Rightarrow l b h = 30$

$\Rightarrow V o l u m e = l b h = 30 {c m}^{3}$

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The surface area of the three coterminous faces of a cuboid are 6,15,10 sq. cm respectively. Find the volume of the cuboid.

The correct option is A 30 cm3Let length, breadth and height of cuboid be l,b and h respectively thenlb=6, bh=15, hl=10lb×bh×hl=900(lbh)2=900⇒lbh=30⇒Volume=lbh=30 cm3

The surface area of the three coterminous faces of a cuboid are $6, 15, 10$ sq. cm respectively. Find the volume of the cuboid.

The correct option is A $30 {c m}^{3}$
Let length, breadth and height of cuboid be $l, b$ and $h$ respectively then
$l b = 6$ , $b h = 15$ , $h l = 10$

$l b \times b h \times h l = 900$
${(l b h)}^{2} = 900 \Rightarrow l b h = 30$

$\Rightarrow V o l u m e = l b h = 30 {c m}^{3}$