Question

the volume of a cube is 512 cm3.Find its lateral surface area.​

Answer 1

Answer:

$\red\star$Lateral Surface Area of the Cube = 384cm².

SOLUTION

Given:-

Volume of a Cube = 512cm³.

To Find :-

Its lateral surface area.​

ANSWER

Equation for Volume of Cube = a³(Where 'a' is the side of the cube)

$\implies$ a³ = 512

$\implies$

$\sf a = \sqrt[3]{512}$

$\implies$ a = 8 cm.

Side of the Cube (a) = 8cm.

Diagram

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LATERAL SURFACE AREA

Lateral Surface Area (LSA) of a cube = 4a²(Where 'a' is the side of the cube)

Here ,

a = 8cm.

$\implies$ LSA of the Cube = 4 × 8²

$\implies$ LSA of the Cube = 4 × 64

$\implies$ LSA of the Cube = 256cm².

LATERAL SURFACE AREA OF SOME OTHER SHAPES

CUBOID

LSA = 2(l+b)×h

CYLINDER

LSA = 2πrh

CONE

LSA = πrl

SPHERE

LSA = 4πr²