Question

2. The total surface area of a cube is 150 cm. Find the length of one side of the cube and the
the volume of cube​

Answer 1

Question :

The total surface area of a cube is 150 cm. Find the length of one side of the cube and the the volume of cube .

Answer :

$\sf\pink{given}$

• Total surface area of cube is 150 cm

$\sf\pink{to\:find}$

• Length of the side = ?

• Volume of the cube = ?

Explanation :

Total surface area of cube = 6a²

$\longrightarrow\bf{ 150 = 6{a}^{2}}$

$\longrightarrow\bf{\dfrac{150}{6} = {a}^{2}}$

$\longrightarrow\bf{25 = {a}^{2}}$

$\longrightarrow\bf{\sqrt{25} = a}$

$\longrightarrow\bf\pink{a = 5}$

• Therefore the side of the cube is 5 cm

Volume of the cube = side³

$\longrightarrow\bf{{5}^{3}}$

$\longrightarrow\bf{5\times 5\times 5}$

$\longrightarrow\bf{25\times 5}$

$\longrightarrow\bf\pink{125}$

• Therefore the volume of the cube is 125 cm³