Question

what is the volume of a cube whose total surface area is 869m^2?​

Answer 1

Solution

Given

⇒Total Surface area of cube is 869m²

To Find

⇒volume of cube

Formula

⇒Total Surface area of cube = 6a²

⇒volume of cube = a³

Now To find a , We can write

⇒869 = 6a²

⇒a² = 869/6

⇒a² = 144.83

Now we can write as

⇒a² ≈ 144

⇒a≈√(144)

⇒a = 12cm

Now find volume of cube , put the value on formula

⇒a³

⇒(12cm)³

⇒1728 cm³