Question

The area of the three faces of the box are 120cm3, 72cm3, and 60cm3 . Find the volume of the box

Answer 1

Answer:

720 cm^3 is the volume of box.

Step-by-step explanation:

✔️Box is a cuboid. Let length be l, breadth be b and height be h.

L ☓ b = 120 - - (1)

B ☓ h = 72 - - - (2)

H ☓ l = 60 - - - (3)

➡️ Divide 1 by 2

L ☓ b ☓ 1/b ☓ 1/h = 120/72

L/h = 10/6 ___(4)

Multiply 3 and 4 :

L/h ☓ l ☓ h = 60 ☓ 10/6

l^2 = 100

➡️ l = 10 cm

Putting l = 10 in (1):

10 ☓ b = 120

➡️b = 12 cm.

Putting b = 12 in 2:

12 ☓ h = 72

➡️ h = 6 cm.

✨ Volume of cuboid = length ☓ Breadth ☓ height

➡️ Volume of cuboid = 10 ☓ 12 ☓ 6

➡️ Volume of cuboid = 720 cm^3