Question

The ratio of the sides of the cuboid is 2:3:5 if the volume of the cuboid is 21,870 ,find the surface area of the cuboid

Answer 1

Let the ratio be x

l = 2x , b = 3x , h = 5x

V = lbh

21870 = 30x³

x³ = 2187/3

x³ = 729

x = 9

l = 2x = 2×9 = 18 units

b = 3x = 3×9 = 27 units

h = 5x = 5×9 = 45 units

S = 2(lb+bh+lh)

S = 2(18×27 + 27×45 + 45×18)

S = 2(486+1215+810)

S = 2(2511)

S = 5022 sq. units

Answer 2

I hope this will help you.