Question

The dimensions of a cuboid are in the ratio of 2:3:4 and its total surface area is 280m^2. Find the dimensions.​

Answer 1

Answer:

Answer:

Given :-

Ratio of length Breadth and height of cuboid = 2:3:4

TSA = 280 m²

To Find :-

Dimensions

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