Question

the area of three adjacent faces of a cuboid are 120 m square 80 m square and 96 m square find its volume​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Assuming the figure to look like this ☝

Area of face 1 = 120 m²

Let's suppose this face comprises of the length and height of the cuboid.

So, l × h = 120 m ²................(1)

Area of face 2 = 80 m²

Let's suppose this face comprises of the breadth and height of the cuboid.

So, b × h=80 m²............ (2)

Area of face 3 = 96m²

Lets suppose this face comprises of the breadth and length of the cuboid.

So, l×b = 96m²...........(3)

Now, dividing (2) by (3)

lh/bh = 120/80

l/b = 1.5

b = l/1.5............... (4)

From (3),

lb = 96

Putting the value of (4) in (3),

l²/1.5 = 96

l²= 144

l=12 m

From (4)

b=l/1.5

b = 12/1.5

b=8m

From (2)

bh =80

8h=80......... (because b=8m)

h=10m

Now, the volume of the cuboid is,

Volume =lbh

=10m×8m×12m

=960m³

Hope it helps!