Question

The dimension of cuboid are in ratio 2:3:4 .Total surface area is 1872cm2. Find its dimensions.

Answer 1

total surface area of cuboid= 2(lb+by+lh)
1872 = 2(2x × 3x + 3x × 4x + 2x × 4x)
= 2(6x + 12x + 8x)
= 2(26x)
= 52x
x = 1872÷ 52
= 36
therefore sides = 36×2= 72,36×3=108,36×4=144

Answer 2

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Solution :-

We know that

TSA = 2(lb + bh + lh)

280 = 2(2x × 3x + 3x × 4x + 2x × 4x)

280 = 2(6x² + 12x² + 8x²)

280 = 2(26x²)

280 = 52x²

280/52 = x²

√5.3 = x

2.3 = x

Therefore,

• Length = 2x = 2 × 2.3 = 4.6 m

• Breadth = 3x = 3 × 2.3 = 6.9 m

• Height = 4x = 4 × 2.3 = 9.2 m