Class 10 / Maths

Class 10 Maths Surface Areas and Volumes Worksheet

Practice surface area and volume questions for cylinders, cones, spheres, cuboids, and combined solids.

advanced50 minutesAnswer key included

Learning objective

Practise surface area and volume formulas for cuboids, cubes, cylinders, cones, spheres, and combined solids.

Questions

  1. Find the volume of a cuboid of length 12 cm, breadth 8 cm, and height 5 cm.
  2. Find the total surface area of a cube of side 9 cm.
  3. Find the curved surface area of a cylinder with radius 7 cm and height 15 cm.
  4. Find the volume of a cylinder with radius 3.5 cm and height 20 cm.
  5. Find the curved surface area of a cone with radius 6 cm and slant height 10 cm.
  6. Find the volume of a cone with radius 7 cm and height 12 cm.
  7. Find the surface area of a sphere with radius 14 cm.
  8. Find the volume of a sphere with radius 7 cm.
  9. A cone is mounted on a cylinder of the same radius. Write the expression for total external surface area.
  10. A solid sphere is melted and recast into smaller spheres. Which quantity remains unchanged?

Answer key

Show suggested answers
  1. Volume = lbh = 12 x 8 x 5 = 480 cubic cm.
  2. TSA of cube = 6a^2 = 6 x 9 x 9 = 486 sq cm.
  3. CSA of cylinder = 2 pi rh = 2 x 22/7 x 7 x 15 = 660 sq cm.
  4. Volume = pi r^2h = 22/7 x 3.5 x 3.5 x 20 = 770 cubic cm.
  5. CSA of cone = pi rl = 22/7 x 6 x 10 = 1320/7 sq cm.
  6. Volume of cone = 1/3 x 22/7 x 7 x 7 x 12 = 616 cubic cm.
  7. Surface area of sphere = 4 pi r^2 = 4 x 22/7 x 14 x 14 = 2464 sq cm.
  8. Volume of sphere = 4/3 pi r^3 = 4/3 x 22/7 x 7 x 7 x 7 = 1437.33 cubic cm approximately.
  9. External surface area = CSA of cone + CSA of cylinder + area of bottom circular base = pi rl + 2 pi rh + pi r^2.
  10. Volume remains unchanged if no material is lost.

How to use this worksheet

Students can solve the questions independently first, then review errors with a parent or teacher. Teachers can use it as a short class activity, homework sheet, or revision check.

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