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Understand Volumes of Cubes, Cuboids and Compound Figures

In this worksheet, students will calculate the volume of cubes, cuboids and compound figures.

'Understand Volumes of Cubes, Cuboids and Compound Figures' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Look at the compound figure below.

 

Think of it as a large cuboid with the dimensions a x b x d with a smaller cuboid of dimensions b x c x b cut out.

 

 

a = 10 cm

b = 4 cm

c = 2 cm

d = 6 cm

 

How would you calculate the volume?   

 

= (volume of the large cuboid) - (volume of the small cuboid)

= (10 x 4 x 6) - (4 x 2 x 4)

= 240 - 32

= 208 cm3

 

Now it's over to you!

Find the volume of the following cuboid.

 

 

a = 13 cm

b = 11 cm

c = 6 cm

 

Volume = ____ cm3

Find the volume of the following cuboid.

 

 

a = 11 cm

b = 9 cm

c = 5 cm

 

Volume = ____ cm3

Find the volume of the following cuboid.

 

 

a = 14 cm

b = 8 cm

c = 6 cm

 

Volume = ____ cm3

Find the volume of the following compound figure.

 

 

a = 10 cm

b = 12 cm

c = 6 cm

d = 10 cm

 

Volume = ____ cm3

336

236

319

380

Find the volume of the following cube.

 

 

c = 7 cm

 

Volume = ____ cm3

Find the volume of the following compound figure, which is made of cuboids.

 

 

a = 17 cm

b =12 cm

c = 4 cm

d =12 cm

 

Volume = ____ cm3

Find the volume of the following compound figure, which is made of cuboids.

 

 

a = 18 cm

b =12 cm

c = 6 cm

d = 7 cm

 

Volume = ____ cm3

Find the volume of the following compound figure, which is made of cuboids.

 

 

a = 14 cm

b = 11 cm

c = 7 cm

d = 8 cm

 

Volume = ____ cm3

Find the volume of the following cuboid.

 

a = 11.5 cm

b = 9 cm

c = 8 cm

 

Volume = ____ cm3

Find the volume of the following compound figure.

 

 

a = 10 cm

b = 12.5 cm

c = 6.5 cm

d = 10 cm

 

Volume = ____ cm3

232.375

235.475

234.375

236.375

  • Question 1

Find the volume of the following cuboid.

 

 

a = 13 cm

b = 11 cm

c = 6 cm

 

Volume = ____ cm3

CORRECT ANSWER
858
EDDIE SAYS
Volume = l x b x w = 13 x 11 x 6 = 858 cm³ Strong start! Is your working similar to the one above? Take your time and work through these questions step by step.
  • Question 2

Find the volume of the following cuboid.

 

 

a = 11 cm

b = 9 cm

c = 5 cm

 

Volume = ____ cm3

CORRECT ANSWER
495
EDDIE SAYS
Volume = l x w x b = 11 x 9 x 5 = 495 cm³ Don't forget the units, their really important if you want to gain all the marks available.
  • Question 3

Find the volume of the following cuboid.

 

 

a = 14 cm

b = 8 cm

c = 6 cm

 

Volume = ____ cm3

CORRECT ANSWER
672
EDDIE SAYS
Volume = l x b x w = 14 x 8 x 6 = 672 cm³ You're getting stronger with each question you attempt.
  • Question 4

Find the volume of the following compound figure.

 

 

a = 10 cm

b = 12 cm

c = 6 cm

d = 10 cm

 

Volume = ____ cm3

CORRECT ANSWER
336
EDDIE SAYS
In order to work out this volume of this figure you had to calculate: = (a x b x d) - (b x c x b) = (10 x 12 x 10) - (12 x 6 x 12) = (1200) - (864) = 336 cm³ How did you get on?
  • Question 5

Find the volume of the following cube.

 

 

c = 7 cm

 

Volume = ____ cm3

CORRECT ANSWER
343
EDDIE SAYS
All sides of a cube are the same. Volume = c x c x c = 7 x 7 x 7 = 343 cm³
  • Question 6

Find the volume of the following compound figure, which is made of cuboids.

 

 

a = 17 cm

b =12 cm

c = 4 cm

d =12 cm

 

Volume = ____ cm3

CORRECT ANSWER
1872
EDDIE SAYS
Volume = (a x b x d) - (b x c x b) = (2448) - (576) = 1872 cm³ Are these kinds of calculations of the volume beginning to get less daunting? You're beyond halfway, great work so far!
  • Question 7

Find the volume of the following compound figure, which is made of cuboids.

 

 

a = 18 cm

b =12 cm

c = 6 cm

d = 7 cm

 

Volume = ____ cm3

CORRECT ANSWER
864
EDDIE SAYS
Volume = (a x b x d) - (a x c x c) = 1512 - 648 = 864 cm³ These questions are getting more challenging but the formula remains the same, there are just added calculations.
  • Question 8

Find the volume of the following compound figure, which is made of cuboids.

 

 

a = 14 cm

b = 11 cm

c = 7 cm

d = 8 cm

 

Volume = ____ cm3

CORRECT ANSWER
546
EDDIE SAYS
Volume = (a x b x d) - (a x c x c) = (14 x 11 x 8) - (14 x 7 x 7) = 1232 - 686 = 546 cm³
  • Question 9
Find the volume of the following cuboid.

 

a = 11.5 cm

b = 9 cm

c = 8 cm

 

Volume = ____ cm3

CORRECT ANSWER
EDDIE SAYS
Volume = a x b x c = 11.5 x 9 x 8 = 828 cm³ Take a deep breath, you’ve got this. One more question to go.
  • Question 10

Find the volume of the following compound figure.

 

 

a = 10 cm

b = 12.5 cm

c = 6.5 cm

d = 10 cm

 

Volume = ____ cm3

CORRECT ANSWER
234.375
EDDIE SAYS
Volume = (a x b x d) - (b x c x b) = 1250 - 1015.625 = 234.375 cm³ Great work maths-whiz! That's another activity ticked off, phew.
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