Question

the lateral surface area of a cube is 72sqcm then find the total surface area of the cube​

Answer 1

Answer:

Let the edge of the cube be 'a' cm. <br> Lateral surface area of the cube

<br>

<br> The total surface area of a cube 108

Answer 2

Step-by-step explanation:

Given that

lateral surface area of cube is 72 sq cm

To find

total surface area of the cube

Solution

Let a is side of cube

$lateral \: surface \: area = 4 \times {a}^{2} \\ 72 = 4 \times {a}^{2} \\ a = 4.24cm$

$total \: surface \: area \: of \: cube = 6 \times {a}^{2} \\ = 6 \times {4.24}^{2} \\ = 108 {cm}^{2}$

hence total surface area of cube is 108 cm sq.