Squirt: Three containers

Illustration: Large, round, transparent container with human feet with red toenails, labelled 'a'. a This is
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b This is
Illustration: Large, round, transparent container with human feet with red toenails, labelled 'a'. a and
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b have a relationship.
The relationship is between their volumes.
You can express this relationship as:
Illustration: Large, round, transparent container with human feet with red toenails, labelled 'a'. a =
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b +
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b
Illustration: Large, round, transparent container with human feet with red toenails, labelled 'a'. a =
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b +
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b
is the same as
Illustration: Large, round, transparent container with human feet with red toenails, labelled 'a'. a = 2 x
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b or a = 2 x b
Illustration: Large, round, transparent container with human feet with red toenails, labelled 'a'. a and
Illustration: Medium, round, transparent container with human feet with black toenails, labelled 'b'. b also have a relationship with
Illustration: Small, round, transparent container with human feet with red toenails, labelled 'c'. c
If you know b = 3 x c, then you can work out the relationship between a and c.

We know a = 2 x b

and b = 3 x c

so a = 2 x 3 x c

or a = 6 x c

You can use Squirt: Three containers to explore these relationships.

Loading: 0%

Squirt: Three containers

How to use

Your task is to work out the volume relationships between three containers.

That is, how many times bigger or smaller each one is compared to the others.

b = x a
OK
b x = c
OK
c = x a
OK
Tap handle that animates when selected.
Sink plug that animates out when selected.
Tap handle that animates when selected.
Sink plug that animates out when selected.
Tap handle that animates when selected.
Sink plug that animates out when selected.
a Clear fish-bowl type of container. Animated water indicating how much water is in the container.
b Clear fish-bowl type of container. Animated water indicating how much water is in the container.
c Clear fish-bowl type of container. Animated water indicating how much water is in the container.
→
←
→
←
Animated water pouring into container.
Animated water pouring into container.
Animated water squirting from container a into container b.
Animated water squirting from container c into container b.

Level 0

Have you used Squirt: Three containers before?

What type of problem would you like to solve?

Work out the relationship between all three containers.

To do this, fill one up and then use the arrows to squirt between a and b, and between b and c.

a = b
c = b
a =
c
a Clear fish-bowl type of container. Animated water indicating how much water is in the container.
b Clear fish-bowl type of container. Animated water indicating how much water is in the container.
c Clear fish-bowl type of container. Animated water indicating how much water is in the container.
Animated water pouring into container.
Animated water pouring into container.
Animated water pouring into container.
Animated water squirting from container a into container b.
Animated water squirting from container b into container a.
Animated water squirting from container b into container c.
Animated water squirting from container c into container b.

That's not right.

The water in one container goes into another container 6 times.
This relationship can be written as c = 6b.

Type this number into the equation.