Question

Example.1 The length,breath, height of the cuboid are in the ratio 6:5:4. If its volume is 15000 cm^3.Find'
(i)its dimensions
(ii)its surface area

Class -8th - Volume and Capacity - pg.227

Answer 1

brainliest plzz brother

Answer 2

Hey!

Given,
length : breadth :  height = 6:5:4
Let length be = 6x
      breadth be = 5x
      height be = 4x

We know,
Volume = l*b*h
15000 = 6x * 5x * 4x
15000 = 120 x³
1500/120 = x³
125 = x³
5 = x

Now, length = 6x = 6*5 = 30 cm
         breadth = 5x = 5*5 = 25 cm
         height = 4x = 4*5 = 20 cm

We know,
Surface area = 2(lb + bh + lh)
                     = 2(30*25 + 25*20 + 30*20)
                     = 2 (750 + 500 + 600)
                     = 3700 cm²