Question

the area of three adjacent faces of a cuboid are 48m^2, 30m^2 and 40m^2. Find the volume of the cuboid

Answer 1

Answer:

l×b = 48, .....(1)

b×h =30, .....(2)

h×l =40...... (3)

From (1) b = 48/l.....(4)

Put the value of b from (4) in(2)

(48/l)×h = 30....(5)

From (3) h = 40/l

put this value of h in (5)

(48/l)×(40/l) =30

l^2 = 48×40/30 = 64

l = 8

Substitute this value of l in (3)

you will get

h = 5

Substitute this value of h in (2)

you will get b= 6

volume = 8×6×5 = 240 m^3 Ans

Answer 2

Answer:

face 1 of the cuboid =l×b=48m²

face 2 of the cuboid =b×h=30m²

face 3 of the cuboid =l×h=40m²

volume of cuboid=l×b×h

but we have , l×b×b×h×l×h

volume of cuboid =(l×b×b×h×l×h)=48×30×40=57600

=√57,600=240m³

therefore, volume of cuboid is 240cm³