Question

find the volume of cuboid if its surface area is 208 sq cm and the ratio of lenth , breadth and height is 2:3:4.

Answer 1

let length = 2x

breadth = 3x

height = 4x

area = 208cm^2

2(lb+bh+hl) = 208

(2x × 3x + 3x × 4x + 4x × 2x) =208÷2

(6x^2+ 12x^2 + 8x^2) = 104

26x^2 = 104

x^2 = 104÷26

x = √4

x = 2

length = 2x = 2×2 = 4 cm

breadth = 3x = 3×2 = 6 cm

height = 4x = 4×2 = 8 cm

volume = l×b×h

=4×6×8

= 192 cm^3

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