Back to Exercise: Volume of Cuboids, Cubes, and Cylinders

Exercises: Volume of Cuboids, Cubes, and Cylinders

Work through each section in order. Use $\pi = \frac{22}{7}$ unless told otherwise, and always write the correct unit with your answer.

Grade 7·21 problems·~28 min·Uganda NCDC Primary 7 Mathematics·lesson·measurement-03

Printable layout

Recall / Warm-Up

These problems review skills you already know.

$Stack of unit cubes: a 4 by 3 bottom layer, two layers high$

Look at the stack of unit cubes shown. It has a bottom layer of 4 x 3 = 12 cubes, stacked 2 layers high. How many unit cubes make up the whole stack?

12 -- only the bottom layer is counted, since that is the base area

24 -- the bottom layer (12 cubes) is repeated for both layers

9 -- add the length, width, and number of layers together

A circle has radius 7 cm. Find its area, to review before we look at cylinder volume. (Use $\pi = \frac{22}{7}$ .)

Which statement correctly distinguishes volume from capacity?

Volume is the space something occupies (cm³); capacity is how much a container can hold (ml, litres)

Volume and capacity mean exactly the same thing and can be used interchangeably

Volume is measured in litres, while capacity is measured in cm³

Fluency Practice

A cuboid measures 6 cm by 4 cm by 3 cm. What is its volume?

$72$ cm³ -- multiply all three dimensions together

$72$ cm² -- multiply all three dimensions, but report it as a square unit

$13$ cm³ -- add the three dimensions together

A cube has side length 5 cm. Find its volume.

A cylinder has radius 7 cm and height 10 cm. Find its volume. (Use $\pi = \frac{22}{7}$ .)

A cylinder has radius 14 cm and height 5 cm. What is its volume? (Use $\pi = \frac{22}{7}$ .)

$172480$ cm³ -- cube the radius (14) and multiply by $\pi$ and the height

$3080$ cm³ -- square the radius (14), then multiply by $\pi$ and the height

$308$ cm³ -- multiply $\pi$ by the radius and the height, without squaring anything

A cube measuring 10 cm on each side has volume ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ cm³, which holds exactly ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ litre(s) of water.

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account