Question

The letetral aurface area of cube is 256m2 finde the volume of cube

Answer 1

Answer:

512m3

Step-by-step explanation:

LATERAL SURFACE AREA= 4A^2

256=4A^2

256/4=A^2

64=A^2

8m=A

NOW SIDE IS 8m

VOLUME =A^3

V=8*8*8

V=512m3

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Given:

• The lateral surface area of cube = 256m²

Let us consider

a = Side of the cube

The total surface area of a cube = 6 × (side)²

The lateral surface area of a cube of the side a = 4 × (side)²

The lateral surface area of a cube = 4 × (a)²

256 = 4a²

a² = 256/4

a² = 64

a = 8m

Side of the cube is 8m.

The volume of the cube = a³

The volume of the cube = 8³

The volume of the cube = 512m³

• The volume of the cube is 512m³.

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