A cube has a side length of 2x + 1. A. Write and simplify an expression for the volume of the cube. (10 points) B. What is the volume of the cube if x = 4 inches? Remember to label your answer. (5 points)

Question

A cube has a side length of 2x + 1. A.  Write and simplify an expression for the volume of the cube. (10 points) B.  What is the volume of the cube if x = 4 inches?  Remember to label your answer.  (5 points)

thesecret20111 · Answer

Do you know the formula for the volume of a cube?

anonymous · Answer

no i dont there was not one given

thesecret20111 · Answer

Well that was obviously something you would have covered before as you have to know it to answer the question.

thesecret20111 · Answer

You first work out the area of the base. Then multiply that by the height of the cube.

thesecret20111 · Answer

So the formula is basically (Side*Side)*Side. Note this only really works with proper square cubes.

thesecret20111 · Answer

So for question A you know that the length of one side = 2x + 1

thesecret20111 · Answer

Therefore the area of the cube = (2x + 1*2x + 1)*2x + 1

thesecret20111 · Answer

The answer for question A would be that simplified..

thesecret20111 · Answer

The answer for  question B would be the same but you would substitute x for 4 inches. Giving you (2*4inch + 1*2*4inch + 1)*2*4inch + 1 
Solve that and you'll have  your final answer.