Question

Find The Side of A Cube whose surface area is 600 cm2​

Answer 1

Answer:

a=10

A Surface area

600

Using the formula

A=6a2

Solving fora

a=A

6=600

6=10

Answer 2

Given:

• Surface Area of Cube = 600cm²

To Find:

• Side ( Cube )?

Formula Used:

$\\ \bigstar{\underline{\boxed{\tt\large{ \purple{Total \ Surface \ Area_{(Cube)} } = 6a^2 }}}}$

Where

• a = side

Solution:

${\underbrace{\tt\large{ Concept \ Used }}}$

A cube is one of the simplest shapes in the three-dimensional space. Sometimes, the shape cube is considered as “cubic”. We can also say that a cube is considered as a block, where all the length, breadth and height are the same.

After substituting values,

$\implies$ T.S.A = 6a²

$\implies$ 600 = 6a²

$\implies$ 600/6 = a²

$\implies$ 100 = a²

$\implies$ a = ${\tt{ \sqrt{100} }}$

$\implies$ a = 10 cm

Hence,

• The Side of the cube is 10 cm.

$\bigstar{\underline{\tt\pink{ Formula \ related \ to \ Cube :- }}}$

$\\ \bullet \: \: {\sf\red{ T.S.A_{(cube)} = 6a^2 }} \\ \\ \bullet \: \: {\sf\large\red{ Volume_{(Cube)} = a^3 }} \\ \\ \bullet \: \: {\sf\large\purple{ Diagonal_{(Cube)} = a \sqrt{ 3 } }}$