Question 1

What shapes does this calculator support?

Accepted Answer

This calculator covers 16 shapes across two tabs. 2D shapes: square, rectangle, triangle, circle, trapezoid, parallelogram, ellipse, pentagon, hexagon. 3D shapes: cube, cuboid (box), sphere, cylinder, cone, pyramid, frustum (truncated cone). Each shape shows the relevant formula used for the calculation.

Question 2

What is the difference between area and volume?

Accepted Answer

Area measures the 2D space inside a flat shape, expressed in square units (m², ft²). Volume measures the 3D space inside a solid object, expressed in cubic units (m³, ft³). For 3D shapes, surface area measures the total outer surface in square units, while volume measures the interior space in cubic units.

Question 3

Can I switch between metric and imperial units?

Accepted Answer

Yes. The unit selector shows metric units (mm, cm, m, km) by default for most locales, and imperial units (in, ft, yd, mi) for US English. You can change the unit to any option from the dropdown. Results automatically display area in square units and volume in cubic units matching your selection.

Question 4

How is the area of a triangle calculated?

Accepted Answer

Area = ½ × base × height. The height must be the perpendicular height from the base to the opposite vertex, not the slant side. For a right triangle, the two legs serve as base and height directly. For equilateral triangles, the height = (√3/2) × side.

Question 5

What is the frustum (truncated cone) formula?

Accepted Answer

A frustum is a cone with the top cut off, leaving two circular faces. Volume = (πh/3)(R² + Rr + r²) where R is the bottom radius, r is the top radius, and h is the height. Surface area = π(R+r) × slant height + π(R² + r²). Common applications: buckets, drinking cups, lampshades.

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