Cuboid Volume Demonstration This resource provides animated demonstrations

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

How can you describe length? The distance between two points. How can you describe area? The size of a flat surface. How can you describe volume? The space an object takes up.

What units do we use to measure length? mm cm km What units do we use to measure area? mm 2 cm 2 km 2 What units do we use to measure volume? mm 3 cm 3 km 3

What does 3 D mean? The 3 Dimensions are… Height Width Length Height is the vertical size. Length is the longer of the two base lengths.

What is the volume of this object? 1 cm = 1 cm 3 The volume of this object is 1 cm 3

What is the volume of these objects? What’s different about this object? Cube = 8 cm 3 = 6 cm 3 = 12 cm 3

A cuboid is a 3 D object with 6 quadrilateral faces. - The side lengths may be equal. A cube is a type of cuboid with 6 square faces. - The side lengths are equal. = 8 cm 3 Cube = 6 cm 3

Calculate the volume of these objects. Which are cubes? Cube = 6 cm 3 = 27 cm 3 = 12 cm 3 Can you think of a different method instead of counting cubes? = 18 cm 3 = 24 cm 3

Calculate the volume of these objects. = 18 cm 3 = 30 cm 3 Can you think of a different method instead of counting cubes? = 36 cm 3 = 54 cm 3

What is the volume of this cuboid? What if we add more layers? How can we calculate the volume easily?

What is the volume of this cuboid? What if we add more layers? How can we calculate the volume easily?

What are the dimensions of this cuboid? How can we easily calculate its volume? 4 × 2 × 3 = 24 cm 3 4 cm 8 × 3 = 24 cm 3 3 cm 2 cm

To calculate the volume of a cuboid we multiply the length by the width by the height. 2 cm 4 cm 3 cm 2 × 3 × 4 = 24 cm 2 Volume = length × width × height

Calculate the volume of these cuboids. a) b) 2 cm 5 cm 4 cm 2 × 2 × 4 = 16 cm 3 c) 2 × 4 × 5 = 40 cm 3 d) 2 cm 5 cm 3 cm 2 × 3 × 5 = 30 7 cm 2 cm cm 3 5 cm 2 × 5 × 7 = 70 cm 3

Calculate the volume of these cuboids. a) b) 8 cm 2 cm 4 cm c) = 42 mm 3 3 mm 2 mm = 64 cm 3 = 50 cm 3 7 mm d) The volume of this shape is 240 cm 3 What is its length? 2. 5 cm 4 cm 5 cm 8? cm cm 6 cm

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk