# Mathematics / Year 8 / Measurement and Geometry / Using units of measurement

Curriculum content descriptions

Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198)

Elaborations
• investigating the relationship between volumes of rectangular and triangular prisms
General capabilities
• Literacy Literacy
• Numeracy Numeracy
ScOT terms

Volume (Dimensions),  Prisms

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Year level 7-8
Resource type
Learning area Mathematics

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### Working it out!

See how small a cubic centimetre looks when compared with a cubic metre (100 cm x 100 cm x 100 cm). Then estimate the volume of cuboids, such as a packet of food and a tool box. Rotate a 3D grid to help you work out dimensions in centimetres. First work out the area of the base. Then multiply your answer by the height to ...

### Surface area and volume

This is an interactive resource about investigating the surface areas and volumes of rectangular and triangular prisms. The resource can be used in one of two modes. In the Explore mode, the student can vary the height, width and depth of the prism, and the surface area and volume are calculated automatically. In the Compute ...

### Secondary mathematics: using real data

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### Volumes of prisms

This is a four-page HTML resource about solving problems concerning volumes of prisms. It contains one video and four questions, two of of which are interactive. The resource discusses and explains solving problems concerning volumes of prisms to reinforce students' understanding.

### EagleCat: scale it

Explore changes in area when a shape is acted on by a scale factor. Examine changes in volume when an object is acted on by a scale factor. Analyse the changes using whole numbers.

### BBC Bitesize: volume - revision

This is a set of information sheets on measurement ideas associated with volumes of rectangular prisms and cylinders. Practice and test questions with answers are provided. This resource is one of a series of online resources from the BBC's Bitesize collection.

### How big is a cubic metre?

Explore just how big a cubic metre really is. See how small a cubic centimetre looks when compared with a cubic metre . Work through a series of questions about the length, width and height of a cubic metre. Work out areas of layers within a cubic metre. Use the areas of these layers to work out the total number of cubic ...

### What's in a cube: level 2

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### Volumes of prisms

This is a website designed for both teachers and students that refers to volumes of prisms and using formulas to find the volumes of prisms. It contains material on rectangular and triangular prisms and finding the volumes of these by using formulas. There are pages for both teachers and students. The student pages contain ...

### In a spin

This resource is a web page containing a short task to explore volume of a solid shape. The task involves calculating the volume of the solid formed by rotating a right angled triangle about its hypotenuse A printable resource and solution is also available to support the task. This resource is an activity from the NRICH website.

### TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

### BBC Bitesize: 2-D shapes - revision

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### Turn up the volume - unit of work

In this unit of work students explore and explain the connections between the surface area and volume of different shapes and how each attribute is measured.

### Squirt: three containers: level 1

Examine the relationships between capacities of containers of the same shape, but different size. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. ...

### Squirt: three containers: level 2

Examine the relationships between capacities of containers of different shapes and sizes. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. This learning ...

### TIMES Module 10: Measurement and Geometry: introduction to measurement - teacher guide

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of measurement, and introduces the measurement of length, area, volume and time.

### Filling glasses: find the right graph

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose both sections of a line graph representing the filling rate for a glass shape. This learning object ...

### Squirt: three containers: complex proportional relationships

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

### Squirt: three containers

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

### Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

### Starting Smart: how can I use measurement relationships to solve problems? - years 7-9

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' knowledge and skills in the measurement of area and volume and to develop their ability to solve practical measurement problems. Students use counting methods and develop formulas to calculate areas ...