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Indices
my dear Watson

2. A cube is of length 35. What is its volume?
Question 1
A cube is of length 35. What is its volume?
V = (35)3 = 315 ?
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3. Question 2 4x + 4x + 4x + 4x = 415. What is x? x = 14 ? Go Back >
4x + 4x + 4x + 4x = 4∙4x = ∙4x = x+1.
So if 4x+1 = 415, then x+1 = 15.
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4. Question 3
What is a third of 310? 39 ?
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5. Question 4
What is the square root of 38? 34 ?
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6. x = ½ Question 5 8x = 2x+1. What is x? ? 8x = (23)x = 23x = 2x+1.
So 3x = x + 1. So 2x = 1, so x = ½.
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7. Question 6 Answer: 62a+1 ? Go Back >
The side of a cube is 6a. Give an expression (as simplified as possible) for the surface area of that cube. ?
Answer: a+1
The area of one side is (6a)2 = 62a. But there’s 6 sides of a cube, so the surface area is 6 x 62a = 61 x 62a = 62a+1.
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