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Maths Exercices
Worksheet


1. Find the volume of the prism described:

  1. A square prism 4 in high with square base 2 in on a side.
  2. A regular octagonal prism 3 in high, with base area of 48 in2.
  3. A regular hexagonal prism 6 cm high, with base edge of 8 cm.
  4. A triangular prism 8 cm high, with base that is an equilateral triangle 4 cm on each side.
  5. A regular pentagonal prism 4.5 in high, with a side of 11 in and an apothem of 8 in.
  6. A rectangular prism 1.5 m high, with rectangular base 2 m wide and 3 m long.

2. Find the missing measurement:

  1. The volume of a right triangular prism is 48 cm3. If the base is a right triangle with legs of 3 and 4 cm, find the height of the prism.
  2. The volume of a right square prism is 539 cm3. If the height of the prism is 11 cm, find the edge of the square base.
  3. The volume of a regular hexagonal prism is 9,937.6 cm3. If the radius of the hexagonal base is 15 cm, find the height of the prism to the nearest centimeter.
  4. The volume of a regular pentagonal prism is 1,430 cm3. If the apothem of the base is 5.5 cm and the height of the prism is 13 cm, find the edge of the pentagonal base.

3. Find the volume of the pyramid with the given dimensions.

  1. A triangular pyramid 18 cm high with a base that is an equilateral triangle 6 cm on a side.
  2. A square pyramid 3 m high, with base edge of 2 m.
  3. A regular hexagonal pyramid 11 in high, with base edge of 20 in.
  4. A triangular pyramid, with a base that is an equilateral triangle 10 cm on each side, if the pyramid is 12 cm in high.
  5. A pentagonal pyramid if the perimeter of the base is 35 in, the apothem is 5 in, and the pyramid is 1 ft high.
  6. A triangular pyramid 2 ft high with a base that is an equilateral triangle 4 ft on a side.

4. Find the missing measurement.

  1. The volume of a triangular pyramid is 640 in3. If the edge of the equilateral triangle base is 16 in, find the height of the pyramid.
  2. The volume of a square piramid is 2,916 cm3. If the perimeter of the base is 108 cm, find the height of the pyramid.
  3. The volume of a pentagonal pyramid is 2,827 cm3. If the height is 33 cm, find the area of the base.
  4. A pyramid with a regular hexagon as its base is 8 in high. If its volume is 432 in3 find the edge of the base.

5. Find the volume of the cylinder.

  1. Radius of 3 cm, height of 12 cm.
  2. Radius of 12 cm, height of 30 cm.
  3. Diameter of 18 in, height of 7 in.
  4. Radius of 4 in, height of 9 in.
  5. Circumference of 38 cm, height of 24 cm.

6. Find the missing measurement.

  1. The volume of a cylinder is 4,212 in3. If the radius is 18 in, find the height.
  2. The volume of a cylinder is 252 m3. If the radius is 7m, find the height.
  3. The volume of a cylinder is 10,192 cm3. If the diameter is 56 cm, find the height.
  4. The volume of a cylinder is 2,783 ft3. If the circumference of the base is 22 ft, find the height.
  5. The volume of a cylinder is 1,000 m3. If the radius of the base equals the height, find the diameter.

7. Find the volume of the cone.

  1. Radius of 12 cm and height of 18 cm.
  2. Radius of 3 ft and height of 4 ft.
  3. Diameter of 28 cm and height of 45 cm.
  4. Circumference of the base of in and height of 50 in.
  5. Radius of 75 cm and height of 180 cm.
  6. Radius of 15 cm and height of 10 cm.

8. Find the missing dimension.

  1. The volume of a cone is cm3. If the radius of the base is 11 cm, find the height of the cone.
  2. The volume of a cone is in3. If the height is 12 in, find the radius of the base.
  3. The volume of a cone is cm3. If the diameter of the base is 8 cm, find the height of the cone.
  4. A wooden cone is packaged in a cardboard box that is a square prism, and the empty space is filled with packing material. If the diameter of the cone and the side of the square both measure 4 in and the height of the cone and the height of the prism both measure 12 in, find the volume of packing material needed, to the nearest cubic inch.

9. Find the volume of the sphere with the given radius or diameter.

  1. Radius = 9 in
  2. Radius = 3 ft
  3. Diameter = 22 in
  4. Radius = 6 m
  5. Diameter = 36 cm
  6. Radius = 15 in

10. Find the radius of the sphere with the given volume.

  1. Volume = in3
  2. Volume = in3

11. A spherical ball with a radius of 2 ft is coated with an even layer of plastic until the radius of the coated sphere is 27 in. Find the volume of the plastic layer.

12. The shape of a silo is a cylinder topped by a hemisphere. Assume that there is no barrier between the hemispherical section and the cylindrical section. If the structure is 20 ft in diameter and 110 ft hight, what is the volume of the silo?