Question

How to find the surface area and volume of a square

Answer 1

Given:

The shape is square.

To find:

The surface area and volume of a square.

Step-by-step explanation:

The length of each side of the square is "a" units.

The formula for the surface area of the square is,

`\begin{gathered} Surface\text{ area = 6}* Area\text{ of the square} \\ S.A=6a^2\text{ square units} \end{gathered}`

The formula for the volume of the square is,

`\begin{gathered} Volume,\text{ V= Length }* breadth* Height \\ =a* a* a\text{ cubic units} \\ V=a^3\text{ }cubic\text{ }units \end{gathered}`

Using these formulas, we can find the surface area and the volume of the square that has side length "a" units.

For example:

Let the side length of 3cm for a square.

So, the dimensions are 3cm by 3cm by 3cm.

That is,

The Length is 3cm.

The breadth is 3cm.

The height is 3cm.

So,

`a=3cm`

The surface area of the square is,

`\begin{gathered} S.A=6a^2 \\ =6\left(3\right)^2 \\ =6*9 \\ =54cm^2 \end{gathered}`

Therefore, the surface area of the square is 54 square cm.

The volume of the square is,

`\begin{gathered} V=a^3 \\ =3^3 \\ V=27cm^3 \end{gathered}`

Therefore, the volume of the square is 27 cubic cm.