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Solid Geometry (Foundations)

Core skills for this exam family.

Phase 2 · Gaokao

Solid Geometry: core idea

V=43πr3V=\frac43\pi r^3.

Example problem: hint and answer

Cube edge 33: volume?

Hint: s3s^3. Answer: 27.

Practice (9 problems — type your answers)

  • 1. Cube edge 22: surface area?

  • 2. Cylinder r=2r=2, h=5h=5: volume in terms of π\pi?

  • 3. Cone r=3r=3, h=4h=4: volume /π/\pi?

  • 4. Sphere r=3r=3: volume /π/\pi?

  • 5. Prism base area 1010, height 77: volume?

  • 6. Pyramid base 3636, height 55: volume?

  • 7. Cube edge 11: space diagonal?

  • 8. Circle r=4r=4: area /π/\pi?

  • 9. Right triangle legs 3,43,4: area?

Solid Geometry Practice Problems — Foundations