Worksheet: Volume of a Composite Solid

In this worksheet, we will practice finding the volume of a composite solid consisting of two or more regular solids, like cubes, rectangular prisms, and cylinders.

Q1:

Calculate the volume of the figure.

Q2:

A roll of paper towels has the given dimensions. Determine, to the nearest hundredth, the volume of the roll.

Q3:

Work out the volume of the composite prism shown.

  • A56 unit 3
  • B112 unit 3
  • C128 unit 3
  • D64 unit 3
  • E72 unit 3

Q4:

Find the volume of the hexagonal prism shown in the figure.

Q5:

The figure shows the design of a swimming pool. Work out, in cubic meters, the volume of water needed to fill the swimming pool completely.

Q6:

The figure shows the design of a swimming pool. If the pool is to be filled to a point 0.5 m below the brim, work out the volume of water that would be needed in cubic meters.

Q7:

Find the volume of the given solid to the nearest tenth.

Q8:

Find, to the nearest tenth, the volume of this solid.

Q9:

Find the volume of the solid.

Q10:

The shape in the given figure consists of a cylinder with a hemisphere attached to each end. Work out its volume, giving your answer to two decimal places.

Q11:

Work out the volume of the composite prism shown.

  • A48 unit 3
  • B60 unit 3
  • C40 unit 3
  • D36 unit 3
  • E42 unit 3

Q12:

To work out an estimate for the volume of a human body, we could model the body using a series of cylinders and spheres as seen in the given figure.