Question 58

The areas of three consecutive faces of a cuboid are $$12cm^{2} , 20cm^{2} and 15cm^{2}$$ , then the volume $$(in cm^{3} )$$ of the cuboid is

Let the length, breadth and height of cuboid be $$l , b , h$$ respectively

Area of three consecutive faces :

=> $$l b = 12$$

$$b h = 20$$

$$h l = 15$$

Multiplying the above equations,

=> $$(lbh)^2 = 12 \times 20 \times 15 = 3600$$

=> $$(lbh) = \sqrt{3600} = 60$$

$$\therefore$$ Volume of cuboid = $$60 cm^3$$

Was this solution helpful?

View More Questions From Quant

Create a FREE account and get:

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

Phone Number

Preferred Time

Download resources