Geometric Shapes & Areas Master Quiz
Test your knowledge of area formulas and geometric principles for common 2D and 3D shapes.
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Quiz Questions & Answers
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Question 1: What is the area formula for a triangle?
length × width
base × height
(base × height) ÷ 2
π × radius²
Question 2: A circle has a radius of 5 units. What's its area?
31.4 square units
78.5 square units
25π square units
10π square units
Question 3: Which shape has the largest area for the same perimeter?
Triangle
Rectangle
Square
Circle
Question 4: What's the surface area formula for a sphere?
4πr²
2πr²
3πr²
πr²
Question 5: If you double the side length of a square, how does its area change?
Increases by 8 times
Quadruples
Triples
Doubles
Question 6: What is the lateral surface area of a regular pyramid?
Base perimeter × slant height
½ × base perimeter × slant height
Base area × height
Base perimeter × height
Question 7: Which shape's area can be found using Heron's formula?
Rectangle
Pentagon
Triangle
Circle
Question 8: What happens to a circle's area if you triple its radius?
Increases by 6 times
Triples
Increases by 12 times
Increases by 9 times