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Listed under:  Mathematics  >  Geometry  >  Polyhedrons  >  Prisms

### Volume and surface area: prisms: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Volume and surface area: prisms. Students solve problems involving the surface area and volume of right prisms.

### Unit cubes and volume

This lesson uses unit cubes and hollow objects to demonstrate the concept of volume and the units used.

### Volume and surface area: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Volume and surface area. Students extend their application of volume and surface area to solve problems on composite solids. Students will need to be able to visualise the individual elements of the composite solids and identify the areas where these elements touch.

### Volume and surface area: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Volume and surface area. Students become familiar with the concepts of volume and surface area. They understand that volume is the amount of space occupied by a three-dimensional (3D) object and is measured in cubic units.

### Shapes and objects: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Shapes and objects. Students describe the properties of 2D shapes and use this knowledge to build objects from their nets and, identify objects from their nets.

### Volume and surface area: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Volume and surface area. Students further develop their understanding of volume and capacity of right prisms by developing formulas, taking measurements and investigating, making approximations and solving problems in many contexts.

### A piece of cake

In this lesson, students build on their skills in finding volumes and surface areas of prisms and cylinders to design a multi-level celebration cake for a party. They use mathematical modelling to vary the size and shape of the component cakes and to calculate how much frosting is needed.

### Packaging

Students explore the features and properties of three-dimensional (3D) objects to identify and create nets of 3D objects.

### The coloured cube

Use this task to reveal if the student can see in their ‘mind’s eye’ the transformation from a 2D net to a 3D object.

### The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

### How do prisms create rainbows?

Zoom inside a glass prism and see why glass makes light bend, and how the glass molecules make different colours of light bend different amounts.

### 2D and 3D shapes

Watch this video to learn about the features of 2D shapes. How is it different from the features of 3D shapes (solids)? Some examples of solids that incorporate 2D shapes are mentioned in this video by Sanchit - for example, a cube has six square faces. What other 3D shapes could you make that has at least one square face?

### reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...

### reSolve: Authentic Problems: Pyramids in a Box

This sequence of four lessons focuses on working with solids and their nets. The lessons provide opportunities for students to work flexibly as they construct simple prisms and pyramids from nets they have created. Students record their mathematical thinking as they work through iterations to refine a box that has the least ...

### Nets of three-dimensional solids

This is a five-page HTML resource about solving problems with nets of three-dimensional solids. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems with nets of three-dimensional solids to reinforce students' understanding.

### Construction of prisms and pyramids

This is a website designed for both teachers and students that refers to the construction of prisms and pyramids from the Australian Curriculum for year 6 students. It contains material on prisms and pyramids including their properties and their construction from nets. There are pages for both teachers and students. The ...

### 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 ...

### reSolve: Algebra - Prisms and pyramids

This lesson engages students in investigating the relationship between the number of faces, edges and vertices of pyramids and prisms. Students construct their own 3D shapes, systematically record the properties of the shape and develop an algebraic formula to generalise the relationships discovered. The lesson is outlined ...

### 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.

### Geometric drawing including representation of simple solids

This is a website designed for both teachers and students that refers to the drawing of solids from the Australian Curriculum for year 7 students. It contains material on cross-sections of prisms and includes information regarding views, elevations and isometric drawings. There are pages for both teachers and students. ...