The surface area of the three coterminous faces of a cuboid are $6 c m^{2}$ , $15 c m^{2}$ , $10 c m^{2}$ , 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 $l, b$ & $h$ be the dimension of the cuboid, then volume of cuboid $= l \times b \times h$
$\Rightarrow l b = 6, b h = 5, h l = 10$
$∴$ ${(l b h)}^{2} = 6 \times 15 \times 10 = 900 \Rightarrow l b h = 30 {c m}^{3}$

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The surface area of the three coterminous faces of a cuboid are 6cm2, 15cm2,10cm2, respectively. Find the volume of the cuboid.

The correct option is A 30cm3Let l,b & h be the dimension of the cuboid, then volume of cuboid =l×b×h⇒lb=6,bh=5,hl=10∴ (lbh)2=6×15×10=900⇒lbh=30cm3

The surface area of the three coterminous faces of a cuboid are $6 c m^{2}$ , $15 c m^{2}$ , $10 c m^{2}$ , respectively. Find the volume of the cuboid.

The correct option is A $30 c m^{3}$
Let $l, b$ & $h$ be the dimension of the cuboid, then volume of cuboid $= l \times b \times h$
$\Rightarrow l b = 6, b h = 5, h l = 10$
$∴$ ${(l b h)}^{2} = 6 \times 15 \times 10 = 900 \Rightarrow l b h = 30 {c m}^{3}$