Pouring from one tank into another

Primary 5 Volume study guide: the whole chapter, step by step

About this subtopic

Pouring from one tank into another is in the Primary 5 Volume chapter. The lesson film is the one Mathweave teaches this skill with in Primary 6, and the practice set below is chosen for Primary 5.

Lesson video and notes

Pouring Water Between Two Containers

2 min 41 s

This lesson is shared with Primary 6.

Watch on its own page

How to solve it
  1. Find the water poured: one tenth of 30 times 30 times 30 is two thousand, seven hundred cubic centimetres.
  2. Find the height left in Tank A: 1 minus one tenth, times 30, is 27 centimetres.
  3. Use the ratio 9 to 4: 9 units are 27 centimetres, so 1 unit is 3, and Tank B's 4 units are 12 centimetres.
  4. Find Tank B's base area: two thousand, seven hundred divided by 12 is 225 square centimetres.
  5. A cube's floor is a square, so the edge is the square root of 225, which is 15 centimetres.

The same water, a smaller floor, a deeper level.

Practice questions with worked solutions

Question 1 is free to try. The other 3 open in the free trial, each with its full working.

Basic

Intermediate

Challenge

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3 more questions, each with its full working.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 4 · Basic · free to tryAll the syrup in a jug was poured into one large bottle. It was 180 ml short…All the syrup in a jug was…

All the syrup in a jug was poured into one large bottle. It was 180 ml short of filling the large bottle to the top. The same jug of syrup would instead have filled one small bottle to the top and left 220 ml over. A small bottle holds 500 ml. Find the capacity of the large bottle.

ml

Show the working and the answer

Video solution · 1 min 7 s

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Working

  1. syrup = 500 + 220 = 720
  2. large bottle = 720 + 180 = 900 ml

Answer: 900 ml

For parents

How do you solve P5 pouring between containers questions?

This page teaches problems where a liquid is poured from one container into another, using the Primary 5 outcomes on the volume of liquid in a rectangular tank and on litres, millilitres and cm³.

What your child learns here

This page teaches problems where a liquid is poured from one container into another, using the Primary 5 outcomes on the volume of liquid in a rectangular tank and on litres, millilitres and cm³. The amount of liquid stays the same as it moves, so your child compares it with the capacity of each container.

  • Pouring changes the shape of a liquid but never its volume.
  • If a bottle is 180 ml short of full, its capacity is the liquid in it plus 180 ml.
  • The volume of water in a rectangular tank is length × breadth × the depth of the water, not the height of the tank.
  • Water that overflows is the volume poured in minus the space the container has.
  • Write every volume in the same unit, millilitres or cm³, before adding or subtracting.
Does the answer make sense?

In Question 1 the syrup is 500 ml plus 220 ml, which is 720 ml, and the large bottle still needs 180 ml more. So the large bottle must hold more than the 720 ml of syrup, and far more than the small bottle's 500 ml; 900 ml passes both tests.

How to practise these questions

Question 1 is free: a jug of syrup fills a 500 ml bottle with 220 ml left over, but falls 180 ml short of filling a large bottle, and your child finds the large bottle's capacity. The Basic question trains building a capacity from what is poured and what is short or left over. Intermediate questions compare bottles of two sizes holding the same juice, and find the capacity of a container turned upside down from the water and the air inside it. The Challenge question pours one tank of water into a smaller tank and finds how much spills over the brim. If a step is unclear, open its worked solution and try the question again later from Revision.

Questions parents ask

What stays the same when water is poured into another container? The volume stays the same, as long as none is spilled. Only its shape changes to fit the new container.

Does my child find a new water level in Primary 5? Not on this page. Finding the height of water from its volume and base area is a Primary 6 outcome, so these questions stop at volumes and capacities.

How do you work out how much water overflows? Find the volume of water poured in and the space in the container, both in cm³. If the water is more than the space, the overflow is the water minus the space.