Question

3. Find the edge of the cube whose total surface area is 433.5 cm2.​

Answer 1

Given :

• Total surface area of cube = 433.5 cm²

To find :

• Find the edge of the cube?

Formula used :

• Surface Area of cube = 6a²

Concept :

• Surface Area of a Cuboid

Solution :

Let,

$\qquad \qquad \large{\frak{ a = \: edge \: of \: the \: cude \: }}$

We know that,

$\qquad \qquad\frak{ \red{ \boxed{ \frak{Surface \: Area \: of \: cube = 6a²}}}}$

$\longmapsto \sf6 {a}^{2} = 433.5$

$\longmapsto \sf \: {a}^{2} = \cancel\frac{433.5}{6}$

$\longmapsto \sf \: {a}^{2} = 72.25$

$\longmapsto \sf a = \sqrt{72.25}$

$\frak{\sf \longmapsto \frak{ \: \red{ a = 8.5}}}$

Hence, edge of cube is 8.5 cm²