# Worksheet: Volume of a Prism

In this worksheet, we will practice finding volumes of cuboids, then composite solids made of cuboids, and then prisms.

Q1:

Maged made a cardboard house at school. The lower part of the house is a rectangular prism and the upper part a triangular prism. Find the volume of the house.

Q2:

Each of these rectangular prisms is made up of unit cubes. Which has a volume of 30 cubic units?

• A
• B
• C
• D

Q3:

How many cubes with a side length of does it take to fill the given prism?

Q4:

Work out the volume of the right triangular prism shown.

Q5:

The solid shown is a rectangular prism with a triangular prism cut out along its length. Work out the volume of the solid.

• A198 unit3
• B210 unit3
• C126 unit3
• D168 unit3
• E84 unit3

Q6:

Given that the volume of each small cube is 1 cubic unit, find the volume of this prism.

Q7:

Given that each cube has a side length of 1 unit, find the volume of the given prism.

• A60 cubic units
• B48.6 cubic units
• C63 cubic units
• D64.8 cubic units
• E66 cubic units

Q8:

Shady and Nada are calculating the volume of a rectangular prism with length 18 m, height 11 m, width 4 m. Shady said that the volume is 792 m3, and Nada said it was 44 m3. Who is correct?

Q9:

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

• A880 unit
• B720 unit
• C unit
• D unit
• E800 unit

Q10:

Work out the volume of the trapezoidal prism shown.

• A56 unit
• B96 unit
• C108 unit
• D48 unit
• E140 unit

Q11:

The solid shown is formed from a rectangular prism and a trapezoidal prism.

Compute the volume of this solid.

• A336 unit3
• B384 unit3
• C288 unit3
• D360 unit3
• E324 unit3

Q12:

The face of the prism shown is a regular hexagon with sides of length 2 units and an area of 10.39 units2.

Work out the volume of the prism.

Work out the surface area of the prism.