## How to Find Volume and Surface Area of Cubes

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### What Does Surface Area of Cube Mean?

The total area of all the faces outside a cube is called the surface area. The important word in this definition is "**outside**" because the surface area is the number of square units it would take to **cover** the figure's outside.

Always use **square** units to talk about surface area.

Since the cube's surface is in the shape of a **square**. So, the square of the edge is equal to the area of each face of the cube.

Let \(a\) be the length of a cube's edge. So, the area of one face is equal to \(a^2\) (Using the formula for the square area)

There are **six** faces in all. Therefore,

The TSA for a cube is \(a^2 \ + \ a^2 \ + \ a^2 \ + \ a^2 \ + \ a^2 \ + \ a^2 \) \(⇒\) TSA \(= \ 6a^2\)

### How to Find the Surface Area of Cubes

Now that you know the formula for finding the surface area of a cube, you can use the three steps below to solve the practice problems:

**Step 1:**Find the value of \(a\), which is the cube's edge**length**.**Step 2:**Use that number in the**formula**for the surface area of a cube.**Step 3:**Solve the problem and write the answer in**square units**.

### Example:

Figure out how much it will cost to paint a cube-shaped aquarium with sides that are \(5.2\) m long. If it costs INR \(7/m^2\) to paint an aquarium,

The total area of the aquarium's surface \(= \ 6\) (side)\(^2 \ = \ 6(5.2)^2 \ = \ 162.24\) m\(^2\)

The overall cost of painting the aquarium is \(7 \times 162.24 \ = \ Rs. \ 1135.68\)

We discussed “Volume of Cubes” in this article: Volume of Cubes

### Exercises for Volume and Surface Area of Cubes

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## Volume and Surface Area of Cubes Practice Quiz

### More Solid Figures courses

- How to Find the Volume of a Rectangular Prism
- How to Find the Volume of a Cylinder
- How to Find the Surface Area of a Cylinder
- How to Find the Surface Area of a Rectangular Prism
- How to Find Volume and Surface Area of Cubes
- How to Find the Volume of a Cube
- How to Find Volume and Surface Area of Pyramids and Cone