# Space, shape and measurement: Calculate the surface area and volume of two- and three-dimensional shapes

### Subject outcome

Subject outcome 3.1: Calculate the surface area and volume of two- and three-dimensional shapes

### Learning outcomes

• Calculate the surface area and volume of the following geometrical objects:
• right pyramids (with square, equilateral triangle or regular hexagonal bases)
• right cones
• spheres.
• Calculate the surface area and volume of a combination of the above mentioned geometrical objects.

### Unit 1 outcomes

By the end of this unit you will be able to:

• Apply the appropriate formulae to find the volume of:
• right pyramids (with square, equilateral triangle or regular hexagonal bases)
• right cones
• spheres.
• Determine and calculate the volume of combinations of these geometric objects.

### Unit 2 outcomes

By the end of this unit you will be able to:

• Apply the appropriate formulae to find the surface area of:
• right pyramids (with square, equilateral triangle or regular hexagonal bases)
• right cones
• spheres.
• Determine and calculate the surface area of combinations of these geometric objects.