Answer
Verified
423.9k+ views
Hint: In order to solve this problem, firstly draw the diagram of the cube and count the number of edges in it. Doing this will solve your problem and give you the right formula.
Complete step-by-step answer:
The above diagram is of cube of edge length $l$.
We know all the edges of the cube are of same length let it be l(say).
Hence, the cube has 12 edges.
So, sum of length of edges =12$l$
Hence formula for the sum of edge length =(12× one edge length)
So, the sum of all of the lengths of the cube of edge length $l$ is 12$l$.
Note: Whenever you face such types of problems of finding the formula of sum of all the edge lengths of a symmetrical body, then draw the diagram of the body and count the edges and generate a formula which is applicable for that body everywhere. Proceeding like this will give you the right formula.
Complete step-by-step answer:
The above diagram is of cube of edge length $l$.
We know all the edges of the cube are of same length let it be l(say).
Hence, the cube has 12 edges.
So, sum of length of edges =12$l$
Hence formula for the sum of edge length =(12× one edge length)
So, the sum of all of the lengths of the cube of edge length $l$ is 12$l$.
Note: Whenever you face such types of problems of finding the formula of sum of all the edge lengths of a symmetrical body, then draw the diagram of the body and count the edges and generate a formula which is applicable for that body everywhere. Proceeding like this will give you the right formula.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE