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How It Works
Select a 2D or 3D shape from the dropdown, enter its dimensions, and the calculator applies the standard geometric formula. For 2D shapes it computes area and perimeter; for 3D shapes it computes surface area and volume.
Example Problem
Find the volume of a cylinder with radius 3 cm and height 10 cm:
- V = πr²h = π × 9 × 10 = 90π
- V ≈ 282.74 cm³
Frequently Asked Questions
What is the formula for the area of a trapezoid?
A = ½(a + b) × h, where a and b are the parallel sides and h is the height. For parallel sides of 5 and 9 with height 4, the area is ½(14) × 4 = 28 square units.
How to calculate the volume of a cone?
V = ⅓πr²h. A cone with radius 3 and height 7 has volume ⅓ × π × 9 × 7 ≈ 65.97 cubic units. The cone is exactly one-third the volume of a cylinder with the same base and height.
What is the difference between surface area and volume?
Surface area measures the total area of the outside faces (in square units), while volume measures the space inside the shape (in cubic units). A sphere with radius 2 has surface area 16π ≈ 50.27 and volume 32π/3 ≈ 33.51.
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