Question

3. Find the side of a cube whose total surface area is 66 cm square
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Answer 1

Answer:

3.32

Step-by-step explanation:

surface area of a cube is 6a²

6 a²= 66

A²= 66/6= 11

a= √11

a= 3.32

hope it helps

Answer 2

Given:

The surface area of the cube=66 cm square

To find:

The side of the cube

Solution:

The side of the cube is  $\sqrt{11}$.

We can find the side by following the given steps-

We know that a cube has a total of 6 faces.

So, the total surface area of the cube will be the sum of the area of all its sides.

Let the side of the cube be x.

The total surface of the cube=6×$side^{2}$

=6$x^{2}$

We know that the surface area of the cube is 66 $cm^{2}$.

On equating the values, we get

6$x^{2}$=66

$x^{2}$=66/6

$x^{2}$=11

x=$\sqrt{11}$

Therefore, the side of the cube is equal to $\sqrt{11}$.