Shape 1 - 3D shapes, surface area and volume PDF

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Summary

Maths ...

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ONLINE WEEK – 3D shapes

Corbett videos 3 and 5

Names of 3D shapes – Learn for the summer

Naming parts of a 3D shape

The corners of the shape

The flat surfaces that make up the shape

The lines where two sides join

Edges Vertices Faces

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Surface Area Notes

Corbett videos 310, 311, 312 EXT 315

Surface area is the area of the surface of a 3D shape. To calculate this, you calculate the area of each face then add them up! To find the surface area of a cuboid you add together the area of the 6 faces. Example

Your turn

Find the surface area of the cuboid below:

Find the surface area of the cuboid below:

On each row there is an odd one out – can you find it?

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GCSE – APPLY 1.

2.

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Example

You try

4

Cylinder

To find the surface area of a cylinder, you need to find the area of the three faces:

Example

Your turn

Find the surface area of the cylinder

Find the surface area of the cylinder below:

below:

5

Work out the surface area of this cylinder, give your answer in terms of π .

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Volume of 3D shapes

Corbett videos 355, 356, 357, 358

Volume is a measure of the amount of space inside an object. It is normally measured in cubic centimetres (cm3). Find the volume of the shapes below (count the cubes!)

Cuboids FORMULA TO LEARN: Volume of a Cuboid = length x width x height Example: Find the volume of the cuboid below

You try: Find the volume of the cuboid below

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Volume of a prism A prism is a 3D shape that has the same cross section all the way through. We can imagine ourselves dragging this shape, from the front

Cross

all the way to the back.

section Volume = Area of the cross-section x length FORMULA TO LEARN:

Example: Find the volume of the

You try: Find the volume of the

prism below

prism below

Example: Find the volume of the prism below

You try: Find the volume of the prism below

Example: Find the volume of the

You try: Find the volume of the

cylinder below

cylinder below

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