Question

What is the volume of the cuboid if the edge of a cuboid are in the ratio 1:2:3 and its surface area is 88 cm². ​

Answer 1

Solution

Surface area of cuboid = 88 cm²

l = x , b = 2x , h = 3x

Surface area = 2(lb+bh+hl)

2(x.2x + 2x.3x + 3x.x) = 88

2(2x²+6x²+3x²) = 88

2x²+6x²+3x² = 44

11x²= 44

x² = $\dfrac{44}{11}$

x² = 4

x = √4

x = 2 cm

l = 2 cm , b = 4 cm , h = 6 cm

Volume of cuboid = lbh = 2.4.6

Volume of cuboid = 48 cm³

Answer :

$\boxed{\mathfrak{Volume\:of\:cuboid\:=\:48 \:cm^{3}}}$

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