How to Find the Surface Area and Volume of a Cube

Step-by-Step Guide

1. 1

   Step 1: Use the formula S=6a2

   Then a2{\displaystyle a^{2}} is the area of any surface.
   
   For example, let a=4 cm.{\displaystyle a=4{\rm {\ cm}}.} Then, S=6a2=6(4 cm)2=6(16 cm2)=96 cm2.{\displaystyle {\begin{aligned}S&=6a^{2}\\&=6(4{\rm {\ cm}})^{2}\\&=6(16{\rm {\ cm^{2}}})\\&=96{\rm {\ cm^{2}}}.\end{aligned}}}
2. 2

   Step 2: {\displaystyle S=6a^{2}

   Then, SL=4a2.{\displaystyle S_{L}=4a^{2}.} For example, let a=3 cm.{\displaystyle a=3{\rm {\ cm}}.} The lateral area is then SL=4a2=4(3 cm)2=4(9 cm2=36 cm2.{\displaystyle {\begin{aligned}S_{L}&=4a^{2}\\&=4(3{\rm {\ cm}})^{2}\\&=4(9{\rm {\ cm^{2}}}\\&=36{\rm {\ cm^{2}}}.\end{aligned}}}
3. 3

   Step 3: } where a{\displaystyle a} is the length of any edge of the cube.

4. 4

   Step 4: For the lateral surface area

5. 5

   Step 5: count only the four sides of the cube

6. 6

   Step 6: not the top and bottom surfaces.

Detailed Guide

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