Problem list
- What is the volume of the bottom part? Double the lengths and areas quadruple, volumes go up eightfold
- Volume of the solid made by one full turn? For a solid of revolution, "the farthest point from the axis is the radius"
- What is the volume of the solid produced? A solid of revolution is just cylinders added step by step
- Volume of the stone? However complicated the shape, sinking it in water measures its volume — the very thing Archimedes noticed in his bath
- Volume of the cuboid? "Base area × height" works for any prism — square, triangular, or circular
- What is the volume of the box? In cut-and-fold problems the loss happens at both ends
- Volume of the cylinder? Cylinders and prisms alike are "base area × height"
- Volume of the cone? Any pointed solid is one third of the prism with the same base and height — pyramids and cones alike
Area Problems Angle Problems Length Problems Counting Problems Hard Problems Standard Problems