Respuesta :
Given:
The shape is square.
To find:
The surface area and volume of a square.
Explanation:
The length of each side of the square is "a" units.
The formula for the surface area of the square is,
[tex]\begin{gathered} Surface\text{ area = 6}\times Area\text{ of the square} \\ S.A=6a^2\text{ square units} \end{gathered}[/tex]The formula for the volume of the square is,
[tex]\begin{gathered} Volume,\text{ V= Length }\times breadth\times Height \\ =a\times a\times a\text{ cubic units} \\ V=a^3\text{ }cubic\text{ }units \end{gathered}[/tex]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,
[tex]a=3cm[/tex]The surface area of the square is,
[tex]\begin{gathered} S.A=6a^2 \\ =6\left(3\right)^2 \\ =6\times9 \\ =54cm^2 \end{gathered}[/tex]Therefore, the surface area of the square is 54 square cm.
The volume of the square is,
[tex]\begin{gathered} V=a^3 \\ =3^3 \\ V=27cm^3 \end{gathered}[/tex]Therefore, the volume of the square is 27 cubic cm.
