# 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 ...

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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

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### 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.

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### Volume of prisms and cylinders?

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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 ...

### Is it a prism? What's its volume?

What makes a prism a prism? Here's a clue: it has to do with its cross-section. See how to work out the volume of different prisms.

### 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.

### Volume of pyramids and cones

A typical pyramid has a square base, but a cone is a pyramid with a circular base. See how to use a third of the base area to work out the volume of a pyramid or a cone. Can you guess what other dimension is needed?

### 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 ...

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

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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 ...

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This is a collection of information sheets on the geometrical properties of special quadrilaterals and 2-D representations of 3-D shapes. Students have access to a multiple-choice test to assess their knowledge of quadrilaterals and representations of 3-D shapes. This resource is one of a series of online resources from ...

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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.

### Secondary mathematics: different representations

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### Filling glasses: match: assessment

Test your understanding of the relationship between the shape of a glass and the level of liquid in the glass as it fills. Show your understanding of this relationship by matching glass shapes to line graphs that represent the filling rates. For example, match a parallel-sided tall glass to a straight line graph. View and ...

### 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. ...

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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 ...

### Filling glasses: create: assessment

Test your understanding of the relationship between the shape of a glass and the level of liquid in the glass as it fills. Show your understanding by creating irregular-shaped glass containers to match line graphs that represent the filling rates. For example, create a composite shape container to match a graph consisting ...