# Geometry Puzzle – Critical Thinking 17

If you are a math teacher, you can move beyond the norm in your math classroom and challenge students to think critically by this kind of critical thinking challenges!

## Challenge:

The volume of a cube is one third of the total surface area of the cube. What is the sum of all edges of the cube?

$11.99 Satisfied 123 Students The correct answer is 24. A cube has 12 edges. The formula for the volume and surface area of a cube are: V = S$$^3$$ SA = 6S$$^2$$ The volume of a cube is one-third of the total surface area of the cube. Thus: S$$^3= \frac{1}{3}$$6S$$^2$$ Remove S$$^2$$ from both sides and solve for S. S = $$\frac{1}{3}$$6 = 2 One side of the cube is 2. The sum of all edges is 2 × 12 = 24 ### More math articles ### What people say about "Geometry Puzzle - Critical Thinking 17"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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