• Year 10

# Area, Surface Area and Volume

approx. 14 hrs

7 topics

37 concepts

Build essential skills for Area, Surface Area and Volume and improve your performance in Mathematics.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

This program builds on prior knowledge of area of plane shapes from Year 9 and aligns with the Australian curriculum. Students develop skills in selecting and using formulae of varied shapes and solids, including pyramids, cones and spheres, and perform calculations to find the area, surface area and volume. In addition, they learn how to demonstrate competence in understanding the limitations of measurement and confidently work with different units of measurement.

### Topics & Concepts We Cover

This learning program is made up of the following 7 topics, broken down into 37 concepts.

• #### Converting Units Measurement 7 concepts

1. Investigate the meaning of prefixes such as 'nano', 'micro', 'mega', 'giga' and 'tera'

2. Convert between metric units of volume

3. Converting units of length

4. Rounding of whole numbers and decimals to significant figures

5. Convert units of measurement using standard form of metric prefixes, index laws and scientific notation

6. Convert between metric units of volume and capacity

7. Convert between metric units of area

• #### Accuracy of Measurement 4 concepts

1. Find the lower and upper limit of the true measurement based on the absolute error

2. Use formulae to calculate the percentage error

3. Determine the absolute error based on the limit of reading

4. Determine the limit of reading of a measurement or measuring tool

• #### Area of 2D Shapes 3 concepts

1. Review area of triangles, quadrilaterals, circles and sectors

2. Calculate the areas of composite figures by dissection into triangles, special quadrilaterals, quadrants, semicircles and sectors

3. Calculate the area of an annulus

• #### Surface Area of Right Prisms 8 concepts

1. Surface area of composite objects

2. Solve problems involving rectangular or triangular prisms

3. Find the surface area of a hollow cylinder

4. Apply Pythagoras' theorem to find surface areas of triangular prisms

5. Use the nets of prisms to find surface area

6. Find the surface areas of triangular prisms

7. Find the surface area of a cylinder

8. Find the surface area of rectangular prisms

• #### Surface Area of Right Cones, Pyramids and Spheres 5 concepts

1. Calculate the 'perpendicular heights' and 'slant heights' of right pyramids and right cones

2. Calculate the surface area of composite solids including right cones, hemispheres and right pyramids

3. Surface areas of right cones

4. Calculate the surface area of right pyramids

5. Surface areas of spheres

• #### Volume of Right Prisms 5 concepts

1. Calculate the volumes of cylinders

2. Find the volumes of composite solids involving prisms and cylinders

3. Solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids

4. Develop and use the formula for the volume of cylinders and find the capacity

5. Develop and use the formula for the volume of right prisms and find the capacity

• #### Volume of Right Pyramids, Cones and Spheres 5 concepts

1. Solve a variety of practical problems relating to the volumes andĀ capacitiesĀ of right pyramids, right cones and spheres

2. Calculate the volume of composite solids including right cones, hemispheres and right pyramids

3. Calculate the volume of a sphere

4. Calculate the volume of of right pyramids

5. Calculate the volume of a cone

### What you'll get

Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Area, Surface Area and Volume

Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime