Question

Here the given question needs to find the dimension of a cube whose total volume is given, and the dimension of the cube is given as variable “x”, find the value of “x”?

Answer 1

Hint: The given question need to be solved in order to get the dimension of the cube, here we need to use the formulae of volume of cube and then compare it with the given volume in order to get the length of the sides, we know volume of the cube is cubic value of length of sides.
Formulae Used:
Volume of cube= \[{a^3}\] (where “a” is the length of the cube)

Complete step-by-step answer:
 In order to get the length of the dimension of the cube, here we will compare the formulae for the volume of cube with the given volume in the question then after solving we can get the length of the cube, on solving we get:
Volume of the cube=5823cm3
Length of side=”x”cm
Using the formulae of the volume we get:
 \[
   \Rightarrow V = {x^3} = 5823 \\
   \Rightarrow {x^3} = 5823 \\
   \Rightarrow x = \sqrt[3] {{5823}} = 17.99 \;
 \]
Hence the length of the side of the given cube is 17.99 cm.
So, the correct answer is “17.99 cm.”.

Note: Here the given question needs to be solved for the value of length of the cube, by using the volume given in the question and using the volume formulae of cube, here we need to solve this question by this method only, and to learn the formulae we can learn that volume of cube is product of length, breadth and height of cube.