Tutorial

GCSE Maths: Volume and Surface Area of 3D Shapes

Learn the formulae for the volume and surface area of 3D shapes including cuboids, prisms, cylinders, pyramids, cones, and spheres.
A dramatic, high-angle shot of a complex geometric sculpture made of various 3D shapes (cubes, pyramids, cones, cylinders) casting sharp shadows in a brightly lit gallery.

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Deck Contents

27 Cards
Lesson#1
Welcome to this deck on the volume and surface area of 3D shapes. We'll explore how to calculate the space inside shapes like prisms and spheres, and also how to find the total area of their surfaces.
Lesson#2
First, let's clarify the difference between volume and surface area. Volume measures the amount of space a 3D object takes up, like its capacity. Surface area is the total area of the outside surfaces of the object, like the amount of wrapping paper needed to cover it.
Quiz#3
What does volume measure in a three-dimensional object?

The space inside

Quiz#4
What is the term for the total area of all the outside surfaces of a 3D object?

surface area

Lesson#5
Let's begin with a family of shapes called prisms. A prism is a 3D shape that has the same cross-section all the way through its length. For example, a cuboid, a triangular prism, and a cylinder are all types of prism.
Quiz#6
What is the key feature of a prism's cross-section throughout its length?

It is constant

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