Table of Contents

Last modified on August 3rd, 2023

The word perimeter is associated with 2-dimensional shapes, such as a triangle, square, or circle. So it is difficult for us to relate the word with a 3-dimensional object such as a cube. However, looking at a cube, we can say that it is a collection of 2-d shapes since each of its 6 sides is a square. A square is a 2-D shape that has a perimeter 4 times its sides. As we know, a cube has 6 identical squares and 12 identical edges; we can consider its perimeter as the total sum of all its edges.

Since the edge is a linear quantity, we express the perimeter of a cube in linear parameters such as mm, cm, m, in, or ft.

The formula is:

**Find the perimeter of a 4×4 cube.**

Solution:

As we know,**Perimeter (P) = 12a, **here a = 4 units

∴ P = 12 × 4

= 48 units

**Calculate the perimeter of a cube with a side length of 5 cm**

Solution:

As we know side length of a cube is its edge,**Perimeter (P) = 12a, **here a = 5 cm

∴ P = 12 × 5

= 60 cm

Finding the **SIDE LENGTH** of a cube when the **PERIMETER** is known

**What is the length of a cube’s sides with a perimeter of 144 mm?**

Solution:

As we know side length of a cube is its edge,

∵ P = 12a,

${\therefore a=\dfrac{P}{12}}$, here P = 144 mm

${\therefore a=\dfrac{144}{12}}$

= 12 mm

Last modified on August 3rd, 2023