P5P6 Volume of Partially Filled Tank with Unknown Height

Volumes of partially filled containers will require students to make use of the given values such as the available "Lengths", "Breadths". "Heights" and "Volumes" in order to calculate the required value that is not given.

Such questions are common in P5 and P6 exams in Paper 2.

Calculator usage is allowed.

A rectangular tank as the following dimensions.

Length : 30 cm

Breadth : 24 cm

This tank is filled with water up to a height of 48 cm.

The tank is ²/₇ filled with water.

a) How much water is needed to fill the tank?

b) What is the volume of the tank?

 

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P5/P6 Volume of Partially Filled Container with Unknown Height

A partially filled tank and its volume of water is given.

With the breadth and length, students must find out the missing "height" and "capacity" of the given tank.

Such questions are common in P5 and P6 exams in Paper 2.

Calculator usage is allowed.

A rectangular tank has a length of 20 cm and breadth of 16 cm.

The tank is ²/₅ filled with water.

There is now 7040 cm³ of water in the tank.

a) What is the height of the tank?

b) What is the volume of the tank?

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P5/P6 Volume of Partially Filled Container

Volume is a topic taught in P5 that addresses the 3-D space after students have comnpleted learning of 2-D shapes such as squares, rectangles and triangles.

Besides length and breadth, the height is what that gives a 2-D shapes another dimension.

Partially filled containers are often tested in Paper 2 of P5 and P6 exam papers.

Calculator usage is allowed.

A rectangular tank has the dimensions 55cm by 30cm by 40cm.

This tank is now ¹/₃ filled with water.

a) What is the volume of water is in the tank now?

b) What is the volume of water needed to fill the tank completely?

Partially filled water tanks

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P5/P6 Math : Water in Partially-Filled Tanks to fill up Multiples of Smaller Containers

Such questions that deals with a large volume of water requires student to redistribute the water into smaller containers.

Both the dimensions of the larger tanks and smaller containers are given.
But the larger container is not filled to the brim.

Questions like these usually appear in Paper 2 of P5/P6 papers.
Calculator usage is allowed.

A large tank with dimensions of 32cm by 18cm by 12cm is ¹/₃ filled with water.

The water is used to fill smaller cubical containers with sides of 2cm.

How many of such smaller containers can be filled with the water from the large tank?

Glass filled with water to the brim

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P5/P6 Math: Volume: Water Transfers Between 2 Containers

This question which addresses the P5/P6 topic of Volume requires students to be able to find a common height of water after the volume of water is shared between 2 containers.

This can appear in P5 or P6 Paper 2 so calculator usage is acceptable.

How water is purified and made safe for consumption

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P5/P6 Math: Volume: Cutting Cubes from Cuboids

This question which addresses the P5 topic of Volume requires students to consider the cuboid as a solid, as opposed to an empty container.

Students are required to calculate the number of identical cubes that can be cut out from the given cuboid.

This can appear in P5 Paper 2 so calculator usage is acceptable.

Such questions also may appear in P6 Paper 1 where students are not allowed the usage of calculators.

The question below will randomize with different numbers every hour. 

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