Question

The surface area of three faces of cuboid sharing a vertex are 20m,32m and 40m.What is the volume of cuboid

Answer 1

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Answer 2

Answer:

$\implies Volume \: of \\the \: cuboid = 160 \:m^{3}$

Step-by-step explanation:

Dimensions of the cuboid :

Let Length = l ,

breadth = b ,

Height = h ,

According to the problem given,

lb = 20 m²,

bh = 32 m²,

hl = 40 m²

Now,

(lb)×(bh)×(hl) = 20×32×40

=> l² × b² × h² = 20×32×(2×20)

=> (lbh)² = (20×8)²

$\sqrt{(lbh)^{2}}=\sqrt{(20\times 8)^{2}}$

$\implies lbh = 20\times 8$

$\implies Volume \: of \\the \: cuboid = 160 \:m^{3}$

Therefore,

$\implies Volume \: of \\the \: cuboid = 160 \:m^{3}$

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