Question

If the lateral surface area of the cube is 196 square cm, then it's volume is ??

Answer 1

Answer:

lateral surface area of cube= 4a^2

surface area: 196cm

therefore: 4a^2=196

4a=14

a=14/4

a=3.5cm

now,

volume of cube= a^3

therefore,

3.5^3=volume of cube

volume of cube= 10.5cm^3

Step-by-step explanation:

Answer 2

The volume of the cube is 343 cm³

Step-by-step explanation:

Given : the lateral surface area of the cube is 196  cm²

we have to find the volume of the cube

then

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

196 = 4 (side )²

(side)² = $\frac{196}{4}$

(side)²  = 49

side = √ 49

side = 7 cm

now ,

The volume of the cube = (side )³

= (7) ³

= 7×7×7

= 343 cm³

hence , The volume of the cube is 343 cm³

#Learn more :

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