a polyhedron with a base that is a polygon and a parallel opposite face that is identical joined by parallelograms.

any line segment that joins the centre of a circle to its circumference.

3D shape with a base that is a circle and a parallel opposite face that is identical and uniform cross-section.

Volume of cylinders

Maths

Checking understanding of perimeter

Checking understanding of area

Multiplicative relationships in circles

Circumference of a circle

Area of a circle

Using the formula for the area of a circle

Area of composite shapes

Perimeter of composite shapes

Finding a length in composite shapes

Surface area of cuboids

Properties of prisms

Surface area of prisms

Surface area of cylinders

Volume of prisms

Problem solving with perimeter, area and volume

In this unit, pupils have derived the formula for the circumference and area of a circle. In the future unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

 In the prior unit, pupils learnt how to derive and use the formula for the area of a triangle and trapezium. In this unit, this knowledge is called upon to find the volume of different prisms and area of composite shapes.

In this unit pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.

Perimeter, area and volume

Volume is the amount of space occupied by a closed {{ }} shape.

Which of the following is the formula for the volume of a cylinder, where $$r$$ is the radius and $$h$$ is the height?

A cylinder with a radius of 6 cm and a height of 10 cm, has a volume of {{ }} $$\pi \text{ cm}^3$$.

If the radius of a cylinder was to stay the same but the height was to change, what would happen to the volume?

A cylinder has a radius of 9 cm and a volume of $$810\pi\text{ cm}^3$$. What is the length of the cylinder?

If you know the volume of a cylinder and its length, what other information can you work out?

The area of a circle with radius 6 cm is {{ }} $$\pi\text{ cm}^2$$.

The radius (in centimetres) is the square root of 49. 

The circumference is $$14\pi \text{ cm}$$.

A circle has an area of $$49\pi \text{ cm}^2$$. Which of the following statements about the circle are true?

A cuboid with a width of 3 m, a length of 8 m and a height of 6 m has a volume of {{ }} cm³.

A cylinder is a 3D shape with a base that is a {{ }} and a parallel opposite face that is identical. A cross-section of a cylinder made parallel to the base will be congruent to the base. 

Which of these triangular prisms has a volume of 2250 cm³?

A cuboid has a volume of 90 cm³. Its length is 5 cm. What could the dimensions of the cross-section be?

Starter Quiz

The area of a circle with radius 6 cm is $$\pi\text{ cm}^2$$.