Area and Volume Practice
An endless supply of never-repeating area and volume problems with instant feedback. Rectangles, triangles, circles, prisms, cylinders — plus the word problems where these formulas earn their keep.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution. You do not need to type units.
How to enter answers
- Whole numbers and decimals:
36,7.5,3/2all work. Decimals are accepted within ±0.01. - Answers with π: type the exact form with
pi, like16pior1/2pi, or type a decimal — both are accepted. - Units: the problem states the units; you only type the number.
2 What you’ll practice
Every problem is generated fresh from 12 templates — a problem never repeats until its whole pool is used up.
Polygon areas
Rectangles, triangles, parallelograms, and trapezoids. Triangles and trapezoids both carry the easy-to-forget factor of 1/2.
Circle areas
A = πr² with the radius — never the diameter. Answer with π (like 16pi) or a decimal.
Volumes
Cubes, rectangular prisms, and cylinders. Most volume formulas are (base area) × height.
3 Watch out for these
The three mistakes students make most often on area and volume problems.
Wrong: circle with diameter 6 → π·6² = 36π. Right: halve first: r = 3, so A = 9π. The formula wants the radius — always.
Wrong: base 8, height 5 → 40. Right: ½ · 8 · 5 = 20. “Triangle takes half.”
Wrong: “The volume is 60 cm².” Right: 60 cm³ — volume is cubic, area is square. The unit is part of the answer.