Improve Article Save Article Like Article Cube is a three-dimensional shape that is associated with a certain occupied volume. It has six square faces, each of which corresponds to an equal length. It can be considered to be square sheets stacked together. Also known as a regular hexahedron, it is one of the five platonic solid shapes. Volume of cube The volume of a cube is a three-dimensional shape that occupies a certain volume of mass or space. The unit of volume of the cube is given as the (unit)3 or cubic units. The SI unit of volume is the cubic meter (m3). Volume of Cube Using Edge Length The measure of all the sides of a cube is the same thus, we only need to know one side in order to calculate the volume of the cube. The steps to calculate the volume of a cube using the side length are,
Volume of Cube Formula
Solution:
Sample QuestionsQuestion 1. What will happen if the side of the cube is decreased to half? Solution:
Question 2. If the side of the cube is tripled how many times the volume of the cube will be increased? Solution:
Question 3. Calculate the decrease in the volume of the cube if its side is decreased to 1/4? Solution:
Question 4. Find how many small cubes of side 2 cm can be made from a big cube of side 8 cm? Solution:
You can put this solution on YOUR website! the volume of a cube is equal to s^3 = s*s*s if you halve the volume, then the volume of the cube becomes (.5*s)^3. (.5*s)^3 is the same as (.5)^3 * (s)^3 = .125*s^3. .125 * 100% = 12.5% The volume of the cube becomes 12.5% of the original volume. The question is: By how much does the volume decrease? If you go from 100% of the volume to 12.5% of the volume, you have decreased by 87.5% of the original volume. your answer would be selection E (87.5%). As an example: Assume the side of the cube is 4. The volume is 4^3 = 4*4*4 = 64 Take half the side of the cube to get 2. The volume of the cube is now 2^3 = 2*2*2 = 8. 8/64 = 1/8 = .125 * 100% = 12.5%. The volume has decreased from 64 to 8 which is a decrease of 64 - 8 = 56. 56 / 64 = .875 * 100% = a decrease of 87.5% of the original volume. |