A cube and cuboid having the …
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Sia ? 3 years, 6 months ago
Let each side of cube be ′a′ m.
Ratio of sides of cuboid is 1:2:4.
Let the sides be ′x′ m
Volume of cube= volume of cuboid
∴ a3 = x × 2x × 4x = 8x3
a3 = 8x3 ⇒ a = 2x
A/Q [6a2 − 2(lb+lh+bh)] × 5 = 80
{6 × (2x)2 + 2[2x2 + 8x2 + 4x2]}×5=80
⇒ [−24x2 + 2(14x2)] × 5 = 80
⇒ (−24x2 + 28x2) × 5 = 80
⇒ 4x2 × 5 = 80
⇒ 20x2 = 80
⇒ x2 = 4
⇒ x = 2
∴ a = 2 × 2 = 4
∴ Volume of cube = (4)3 = 64m3
sides of cuboid = x,2x,4x = 2,4,8m
Volume of cuboid = 2×4×8 = 64m3
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