Geometry and Trigonometry practice question

Answer: A. 8

Volume of a cube is edge³. If the edge goes from s to 2s, the volume goes from s³ to (2s)³ = 8s³ — eight times as large. (Doubling in each of three dimensions: 2 × 2 × 2 = 8.)

Why the other answers are wrong

B. 2

Doubling the edge doubles each LENGTH, but volume involves three dimensions, each of which doubles: 2³ = 8.

C. 4

4 is 2², which is how the surface AREA scales (two dimensions). Volume has three dimensions, so it scales by 2³.

D. 6

6 is the number of faces on a cube. It has nothing to do with how the volume scales.

More Geometry and Trigonometry questions

• Hard
  In a right triangle, one leg is 5 and the hypotenuse is 13. What is the length of the other leg?
• Hard
  A circle has a radius of 4. What is the length of an arc that subtends a central angle of 90°?
• Hard
  A circle is defined by the equation (x − 3)² + (y + 2)² = 25. What is the radius of the circle?
• Hard
  What is 135° expressed in radians?
• Hard
  What is the length of segment PT?
• Hard
  What is the measure, in degrees, of the central angle of this sector?