anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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thesecret20111
  • thesecret20111
Do you know the formula for the volume of a cube?
anonymous
  • anonymous
no i dont there was not one given
thesecret20111
  • thesecret20111
Well that was obviously something you would have covered before as you have to know it to answer the question.

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thesecret20111
  • thesecret20111
You first work out the area of the base. Then multiply that by the height of the cube.
thesecret20111
  • thesecret20111
So the formula is basically (Side*Side)*Side. Note this only really works with proper square cubes.
thesecret20111
  • thesecret20111
So for question A you know that the length of one side = 2x + 1
thesecret20111
  • thesecret20111
Therefore the area of the cube = (2x + 1*2x + 1)*2x + 1
thesecret20111
  • thesecret20111
The answer for question A would be that simplified..
thesecret20111
  • thesecret20111
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.

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