# Worksheet: Volumes of Composite Prisms

In this worksheet, we will practice finding volumes of composite prisms.

**Q3: **

The solid shown is formed from two rectangular prisms. Work out the volume of the solid.

- A800 unit
- B1,200 unit
- C880 unit
- D720 unit
- E1,040 unit

**Q6: **

The solid shown is formed from two congruent triangular prisms placed together with a rectangular prism cut out along its length. Work out the volume of the solid.

**Q7: **

Work out the volume of the prism shown.

- A60 unit
- B48 unit
- C120 unit
- D180 unit
- E96 unit

**Q8: **

Work out the volume of the trapezoidal prism shown.

- A216 unit
- B48 unit
- C108 unit
- D96 unit
- E72 unit

**Q9: **

A sphere with a volume of cm^{3}
is placed inside a cube. Given that it touches all
six of the cube’s faces, find the volume of the cube.

**Q10: **

Find the edge length of the smallest cube in which a sphere of volume cm^{3} fits.

**Q11: **

David makes an ice cream cone with two spherical scoops of ice cream. Before he has time to eat the ice cream it melts and fills the cone up to the very top. Given that the cone has an internal height of 14 cm and an internal radius of 3 cm, what is the radius of a scoop of ice cream?

- A cm
- B cm
- C cm
- D cm
- E cm

**Q12: **

A cylindrical tank with a radius of 3 feet is partially filled with water. A spherical ball with a radius of 2 feet is dropped into the tank. Assuming that the sphere is completely submerged and the cylindrical tank does not overflow, find the height, , by which the water level rises. Give your answer to two decimal places.

**Q13: **

A cube has a volume of 9,261 cubic inches. Find, to the nearest tenth, the volume of the circumscribed sphere of the cube.

**Q16: **

Work out the volume of the composite prism shown.

- A42 unit
- B48 unit
- C36 unit
- D40 unit
- E60 unit

**Q17: **

The solid shown is formed from a rectangular prism and a trapezoidal prism. Calculate the volume of this solid.

- A288 unit
^{3} - B336 unit
^{3} - C384 unit
^{3} - D324 unit
^{3} - E360 unit
^{3}

**Q18: **

An antique is kept sealed in a cube-shaped box which has an external length of 4 cm. To transport it, the box is placed in a cube-shaped crate with an internal edge length of 38 cm, and the empty space around it is filled with packing foam. Find the volume of the packing foam.

**Q19: **

A cubic container has an inner edge length of 28 cm. It is filled with water, which rises 6 cm when a metal object is placed inside. Find the volume of the object.

**Q20: **

A rectangular-prism-shaped box with a volume of 18 cubic inches is filled with small cubes of side lengths equal to of an inch. Determine the number of small cubes.

**Q21: **

A rectangular shaped hole has been cut all the way through this rectangular prism as shown. Work out the volume of the remaining solid.

- A297 unit
- B276 unit
- C108 unit
- D234 unit
- E162 unit