# Understand Conversions Between Standard Units of Volume

In this worksheet, students will use their knowledge of calculating the volume of a cube and cuboid to solve various worded problems.

Key stage:  KS 2

Curriculum topic:   Measurement

Curriculum subtopic:   Convert Between Standard Units

Difficulty level:

### QUESTION 1 of 10

What is volume?

Volume is the total amount of 3D space that an object takes up.

What is capacity?

Capacity is the total amount of fluid that a container can hold. We use the word 'capacity' when we are measuring liquids.

In this activity, you will be asked to use formulae to calculate the volume of a shape.

We use cubic units (cm³) when calculating the volume.

To find the volume of a cube or cuboid, we use the formulae

Length x height x width

V = L x H x W

Example:

What is the volume of this cuboid?

V = L x H x W

V = 5 x 3 x 9

V = 15 x 9 = 135 cm³

A diary is 9 cm wide, 10 cm long and 2 cm in height.

What is its volume?

170 cm³

180 cm³

190 cm³

160 cm³

A diary is 13 cm wide, 12 cm long and 2.5 cm in height.

What is its volume?

160 cm³

390 cm³

309 cm³

413 cm³

A diary is 19 cm wide, 22 cm long and cm in height.

There are two identical diaries piled up on top it.

What is the total volume taken up by all of the diaries?

160 cm³

390 cm³

309 cm³

413 cm³

A rectangular cake is 20 cm wide, 35 cm long and 6 cm in height.

What is its volume?

160 cm³

390 cm³

309 cm³

413 cm³

Another rectangular cake is 10 cm wide, 25 cm long and 4 cm in height.

If the cake is cut equally into 10 pieces, what is the volume of each piece?

The juice carton is 6 cm wide, 8 cm long and 14 cm in height.

What is its volume?

The juice carton is 7 cm wide, 10 cm long and 16 cm in height.

If I drink 1⁄2 of the juice, what is the volume of the juice left in the carton?

Select the correct answer in millilitres.

506 ml

560 ml

600 ml

450 ml

The juice carton is 8 cm wide, 12 cm long and 18 cm in height.

If I drink 1 ⁄4 of the juice, what is the volume of the juice left in the carton?

Fill in the correct answer using millilitres.

506 ml

560 ml

600 ml

450 ml

A can of fizzy drink is 315 millilitres.

What is the total volume of 8 cans?

Choose the correct answer in litres and millilitres.

2520 ml

2 l 520 ml

2 l 502 ml

2 l 512 ml

A can of fizzy drink is 325 millilitres.

What is the total volume of 9 cans?

Fill in the correct answer in litres and millilitres.

2520 ml

2 l 520 ml

2 l 502 ml

2 l 512 ml

• Question 1

A diary is 9 cm wide, 10 cm long and 2 cm in height.

What is its volume?

180 cm³
EDDIE SAYS
V = L x H x W V = 10 x 2 x 9 V = 20 x 9 = 180 cm³ Simple, right? Let's keep going.
• Question 2

A diary is 13 cm wide, 12 cm long and 2.5 cm in height.

What is its volume?

390 cm³
EDDIE SAYS
V = L x H x W V = 12 x 2.5 x 13 V = 30 x 13 = 390 cm³
• Question 3

A diary is 19 cm wide, 22 cm long and cm in height.

There are two identical diaries piled up on top it.

What is the total volume taken up by all of the diaries?

EDDIE SAYS
V = L x H x W V = 22 x 3 x 19 V = 66 x 19 = 1254 cm³ Volume of one diary = 1254 cm³ Volume of 3 diaries = 1254 cm³ x 3 = 3762 cm³
• Question 4

A rectangular cake is 20 cm wide, 35 cm long and 6 cm in height.

What is its volume?

EDDIE SAYS
How did you get on this time? V = L x H x W V = 35 x 6 x 20 V = 210 X 20 = 4200 cm³
• Question 5

Another rectangular cake is 10 cm wide, 25 cm long and 4 cm in height.

If the cake is cut equally into 10 pieces, what is the volume of each piece?

EDDIE SAYS
Again, we're using the same formula. V = L x H x W V = 25 x 4 x 10 V = 100 X 10 = 1000 cm³ The volume of the whole cake = 1000 cm³ We then need to divide 1000 cm³ by 10 to find the volume of one piece of cake. 1000 cm³ ÷ 10 = 100 One piece of cake has a volume of 100 cm³
• Question 6

The juice carton is 6 cm wide, 8 cm long and 14 cm in height.

What is its volume?

672 cm³
672
EDDIE SAYS
V = L x H x W V = 8 x 14 x 6 = 672 cm³ Are you feeling more confident? You're past halfway!
• Question 7

The juice carton is 7 cm wide, 10 cm long and 16 cm in height.

If I drink 1⁄2 of the juice, what is the volume of the juice left in the carton?

Select the correct answer in millilitres.

560 ml
EDDIE SAYS
To solve this one, we first had to find the total capacity of the carton. Capacity = 10 x 16 x 7 C = 160 x 7 = 1120 cm³ Then to find the remaining liquid, we had to halve the total. 1120 cm³ ÷ 2 = 560 cm³ = 560 ml Great work! Examiners love throwing in an extra step but stay calm and work through the question as usual.
• Question 8

The juice carton is 8 cm wide, 12 cm long and 18 cm in height.

If I drink 1 ⁄4 of the juice, what is the volume of the juice left in the carton?

Fill in the correct answer using millilitres.

EDDIE SAYS
To solve this calculation, we must first find the total capacity of the carton. Capacity = 12 x 18 x 8 C = 216 x 8 = 1728 cm³ Then, to find the remaining liquid, we had to find 1/4 of the total 1728 cm³ ÷ 4 = 432 cm³ Finally, we had to subtract 432 from the total to find the amount of liquid remaining. 1728 - 432 = 1296 ml Don't worry if you didn't get this one right it's tricky! Well done if you did.
• Question 9

A can of fizzy drink is 315 millilitres.

What is the total volume of 8 cans?

Choose the correct answer in litres and millilitres.

2 l 520 ml
EDDIE SAYS
We already knew the volume of one can was 315 ml. Therefore, we need to multiply 315 by 8 to find the total volume for 8 cans. 315 x 8 = 2520 ml = 2 l 520 ml
• Question 10

A can of fizzy drink is 325 millilitres.

What is the total volume of 9 cans?

Fill in the correct answer in litres and millilitres.

EDDIE SAYS
We already knew the volume of one can was 325 ml. Therefore, we need to multiply 325 by 9 to find the total volume for 9 cans. 325 x 9 = 2925 ml = 2 l 925 ml Well done, that’s another activity completed!
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