Question

Volume of the bricks is 3000cubic and its dimension are in the ratio 3:2:4.If the entire surface is painted at 50paisa per cm sqauare,the cost will be

Answer 1

Given :--- Volume = 3000cm³

side ratio = 3:2:4

let sides of bricks be 3x , 4x and 2x ...

so,

we know that volume of cuboid = length * breadth * height

so,

3x×4x×2x = 3000

24x³ = 3000

x³ = 125

x = 5

so, sides are = 15cm,10cm and 20cm

Now,

we know that ,

surface area of cuboid is given by :------- 2(lb+bh+hl)

putting values we get,

surface area = 2(15*10+10*20+20*15)

surface area = 2(150+200+300)

surface area = 2(650)

surface area = 1300cm²

so,

cost of painting the surface area will be = 1300×0.5 = Rs. 650 (Ans)