Conversion Area Volume Demonstration This resource provides animated

Conversion – Area & Volume – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

Here is a 1 cm × 1 cm square. It contains… 1 square centimetre 1 cm 2 10 mm 1 cm How many… 1 square millimetres does it contain? 100 mm 2 To convert from cm 2 to mm 2 we multiply by… 100. 1 cm 10 mm Why?

Here is a 1 m × 1 m square. It contains… 1 square metre 1 m 2 100 cm 1 m How many… 1 square centimetres does it contain? 10, 000 cm 2 To convert from m 2 to cm 2 we multiply by… 10, 000. 1 m 100 cm Why?

Here is a 1 cm × 1 cm cube. It contains… 1 cubic centimetre 1 cm 3 10 mm 1 cm How many… 1 cubic millimetres does it contain? 1 cm 10 mm 1000 mm 3 To convert from cm 3 to mm 3 we multiply by… 1000. Why?

= 1 cm 2 1 cm = 100 mm 2 10 mm 1 cm 10 mm To convert length from cm to mm: × 10 To convert area we do this for both dimensions : × 10 = × 102 = × 100

= 1 cm 2 1 cm = 100 mm 2 10 mm 1 cm 10 mm To convert length from cm to mm: × 10 To convert area we do this for both dimensions : × 10 = × 102 = × 100 What are the conversion factors for… m 2 to cm 2 × 1002 × 10, 000 km 2 to m 2 × 10002 × 1, 000 mm 2 to cm 2 ÷ 102 ÷ 100

= 1 cm 2 1 cm = 1000 mm 2 10 mm 1 cm 10 mm To convert length from cm to mm: × 10 To convert volume we do this for all dimensions : × 10 = × 103 = × 1000 What are the conversion factors for… m 3 to cm 3 × 1003 × 1, 000 km 3 to m 3 × 10003 × 1, 000, 000 mm 3 to cm 3 ÷ 1000

Area & Volume Conversion Factors Area Volume km 2 → m 2 × 10002 km 3 → m 3 × 10003 km 2 ← m 2 ÷ 10002 km 3 ← m 3 ÷ 10003 m 2 → cm 2 × 1002 m 3 → cm 3 × 1003 m 2 ← cm 2 ÷ 1002 m 3 ← cm 3 ÷ 1003 cm 2 → mm 2 × 102 cm 3 → mm 3 × 103 cm 2 ← mm 2 ÷ 102 cm 3 ← mm 3 ÷ 103

Convert 0. 5 m 2 to square centimetres. If I forget the conversion factors, I can sketch this area as a simple rectangle and convert the lengths. 50 cm 0. 5 m 1 m 100 cm 50 × 100 = 5000 cm 2

Convert 0. 27 m 2 to square centimetres. If I forget the conversion factors, I can sketch this area as a simple rectangle and convert the lengths. 27 cm 0. 27 m 1 m 100 cm 27 × 100 = 2700 cm 2

Find the area of these shapes in the given units. 5 m 3 cm 5 m 5 cm = cm 2 = mm 2 70 cm = km 2 = m 2 1. 1 km 1. 2 m = cm 2 = m 2 600 m

Find the area of these shapes in the given units. 5 m 3 cm 5 m 5 cm = 250, 000 cm 2 = 1500 mm 2 70 cm = 0. 33 km 2 = 330, 000 m 2 1. 1 km 1. 2 m = 8400 cm 2 = 0. 84 m 2 Answers 600 m

Find the volume of these shapes in the given units. 2 m 6 cm 40 cm 4 cm 3 m 8 cm = cm 3 = mm 3 55 cm = cm 3 120 m 8 m = cm 3 2. 4 m = m 3 150 m 140 m

Find the volume of these shapes in the given units. 2 m 6 cm 40 cm 4 cm 3 m 8 cm = 2, 400, 000 cm 3 = 192, 000 mm 3 55 cm = 1. 26 × 1012 cm 3 120 m 8 m = 10, 560, 000 cm 3 2. 4 m = 10. 56 m 3 Answers 150 m 140 m

a) 5 cm 2 = 500 mm 2 g) 3 cm 3 = 3000 mm 3 b) 2. 4 m 2 = 24, 000 cm 2 h) 250 mm 3 = 0. 25 cm 3 c) 8800 mm 2 = 88 cm 2 i) 0. 4 m 3 = 400, 000 cm 3 d) 0. 5 km 2 = 500, 000 m 2 j) 650, 000 cm 3 = 0. 6 m 3 e) 200, 000 m 2 = 0. 2 km 2 k) 0. 0022 km 3 = 2, 2 m 3 f) 0. 005 km 2 = 50 l) 0. 09 m 3 = 90, 000 mm 3 cm 2

Answers a) 5 cm 2 = 500 mm 2 g) 3 cm 3 = 3000 mm 3 b) 2. 4 m 2 = 24, 000 cm 2 h) 250 mm 3 = 0. 25 cm 3 c) 8800 mm 2 = 88 cm 2 i) 0. 4 m 3 = 400, 000 cm 3 d) 0. 5 km 2 = 500, 000 m 2 j) 650, 000 cm 3 = 0. 65 m 3 e) 200, 000 m 2 = 0. 2 km 2 k) 0. 0022 km 3 = 2, 200, 000 m 3 f) 0. 005 km 2 = 50, 000 cm 2 l) 0. 09 m 3 = 90, 000 mm 3

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