which of the following functions define the volume of a cube
Answers
Answer:
Answers. 1. The volume of a cube V is given by V = a^3 where a = length of one side of the cube. V = 4^3 = 64 cubic inches or inches^3.
The volume of the cube is 64 cubic inches.
2. Once again we use the formula for the volume of a cube as V = a^3.
Since V = 216 cm^3 in this question, we substitute in the formula to obtain
216 = a^3.
Taking cube roots of both sides of the equation gives us a = 6 cm.
The length of one side of the cube is 6 cm.
3. Let the length of one side of one cube of volume V1 be a and the length of one side of the other cube of volume V2 be 2a.
Hence we have the following relations:
V1 = a^3
1. Find the volume of a cube having one side as 4 inches.
2. The volume of a cube is 216 cubic cm or cm^3. Find the length of one side of the cube.
3. The length of one side of a cube is doubled. What affect does that have on its volume?
V2 = (2a)^3 = 8a^3
So dividing the second relation above by the preceding relation gives us
V2/V1 = 8a^3 / a^3 = 8.
So the volume of the bigger cube is 8 times the volume of the smaller cube.
The volume gets multiplied by a factor of 8.