Question

The dimension of a cuboid are in ratio 4:3:2 and it's TSA is 3328cm square find it's dimension and it's lateral surface area

Answer 1

Answer:

Let length be 4x

breadth be 3x

height be 2x

TSA = 2 ( lb + bh + hl )

3328 = 2 ( 4x × 3x + 3x × 2x + 2x × 4x )

3328 = 2 ( 12x + 6x + 8x )

3328 = 2 × 26x

3328 = 52x

3328 / 52 = x

64 = x

Therefore,

length = 4x = 4 × 66 = 264

breadth = 3x = 3 × 66 = 198

height = 2x = 2 × 66 = 132

LSA = 2 ( l + b ) h

= 2 ( 264 + 198 ) × 132

= 264 × 462

= 121968 cm^2