How To Find Perimeter Of A Cube
Finding the perimeter of a cube may seem a bit difficult since perimeters are by and large associated with 2-dimensional figures and a cube is a three-dimensional object. However, a cube can be considered equally a collection of two-dimensional objects since each of its six faces is a foursquare. Similar to how the perimeter of a square is equal to the sum of the lengths of its sides, the perimeter of a cube is equal to the sum of its carve up sides, also known as the edges of the cube.
Hither, nosotros volition learn about the formula that we tin use to calculate the perimeter of a cube. In addition, nosotros volition look at some exercises in which we will use this formula.
GEOMETRY
Relevant for…
Learning about the perimeter of a cube with examples.
Run into examples
GEOMETRY
Relevant for…
Learning about the perimeter of a cube with examples.
Encounter examples
Formula to find the perimeter of a cube
The perimeter of a cube can be considered as the sum of the lengths of all the sides of the cube, also known as the edges. In a cube, we accept 12 edges in total. Too, we know that a cube is a regular effigy, which ways that all 12 edges have the aforementioned length.
Therefore, considering all of this, we can obtain the following formula for the perimeter:
$latex p=12a$
wherea is the length of 1 of the edges of the cube.
Perimeter of a cube – Examples with answers
The following examples are solved using the formula for the perimeter of a cube detailed to a higher place. Each instance has its respective solution, but information technology is recommended that you lot try to solve the problems yourself before looking at the answer.
Case 1
A cube has edges of length 5 yard. What is its perimeter?
Solution
We utilize the length $latex a=five$ in the perimeter formula:
$latex p=12a$
$latex p=12(5)$
$latex p=60$
The perimeter is equal to 60 one thousand.
EXAMPLE 2
If a cube has edges of length eight 1000, what is its perimeter?
Solution
We have the length $latex a = 8$, so we utilize this value in the perimeter formula:
$latex p=12a$
$latex p=12(viii)$
$latex p=96$
The perimeter is equal to 96 m.
EXAMPLE iii
What is the perimeter of a cube that has edges of length 15 1000?
Solution
We employ the length $latex a=5$ in the perimeter formula:
$latex p=12a$
$latex p=12(15)$
$latex p=180$
The perimeter is equal to 180 one thousand.
Case four
What is the length of the sides of a cube that has a perimeter of 120 m?
Solution
To discover the length of the sides or edges, we have to use $latex p=120$ and solve fora:
$latex p=12a$
$latex 120=12a$
$latex a=10$
The sides are 10 chiliad long.
Case 5
How long are the edges of a cube that has a perimeter of 260 m?
Solution
We use the perimeter measure $latex p=260$ in the perimeter formula and solve fora:
$latex p=12a$
$latex 260=12a$
$latex a=21.67$
The length of the edges is 21.67 thousand.
Perimeter of a cube – Practice problems
Use the post-obit problems to practise applying the formula for the perimeter of cubes. If you demand help with this, you tin can look at the solved examples in a higher place.
If we have a cube with sides of length 7m, what is its perimeter?
Choose an reply
If we have a cube with sides of length 11m, what is its perimeter?
Choose an answer
What is the length of the sides of a cube that has a perimeter of 144m?
Cull an respond
What is the length of the sides of a cube that has a perimeter of 204m?
Choose an answer
See also
Interested in learning more near cubes? Take a look at these pages:
- Diagonal of a Cube – Formulas and Examples
- Faces, Vertices and Edges in a Cube
- Nets of a Cube
Larn mathematics with our boosted resources in unlike topics
Learn More than
Source: https://en.neurochispas.com/geometry/perimeter-of-a-cube-formulas-and-examples/
0 Response to "How To Find Perimeter Of A Cube"
Post a Comment