Question

Very Short Answer Questions
3. The total surface area of a cube is 1,944 sq cm. Find its side.
35 points and will be mark as brainlist​

Answer 1

$\huge\bf\underline{Answer}$

Given :-

• Total surface area of a cube = 1944cm²

To Find :-

• Side of the cube

Formula :-

$\boxed{\huge \sf{TSA = 6a²}}$

Where,

• TSA = Total surface area of a cube

• a = Side of a cube

Solution :-

Let the Side of a cube be 'x'

By substituting values according to the formula,

$\sf{:⇒6(x) ^{2} } = 1944cm^{2}$

$\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }$

$\sf{:⇒ {x}^{2} = 324}$

$\sf{:⇒x = \sqrt{324} }$

$\sf{:⇒x = 18cm}$

Hence, The Side of a cube is 18cm