Question

The length of cubiod is 12 cm, breadth and height are equal in measurements and it's volume is 432 cm³. The cuboid is cut into 2 cubes. Find the lateral surface area of each cube.​

Answer 1

Sᴏʟᴜᴛɪᴏɴ :

• Length of cubiod = 12 cm

• Let breadth of cubiod = x cm

• Height of cubiod = x cm

Volume of cubiod = lbh

⇒ 12 × x × x = 12x²cm³

Volume of cubiod = 432 cm³

⇒ 12x² = 432

⇒ x² = 432/12

⇒ 36

⇒ 6²

• Breadth = 6 cm
• Height = 6 cm

Cubiod cut into two cubes ⇒ length of the each cube should be 6 cm

L.S.A. of cube

⇒ 4(side)²

⇒ 4(6)²

⇒ 144 cm²

Answer 2

Answer:

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Step-by-step explanation:

length of cuboid=12

volume=432 cm³

the breadth and height=x cm

formula of volume of cuboid is=lbh

432=12 into x into x

432/12=x²

36=x²

√36=x²

x=36/2

=6

answer is 144