Volume of prisms

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 cylinders

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

{{ }} is the amount of space occupied by a closed 3D shape. 

All units for volume are {{ }} units, such as cm³ or feet³.

The volume of a cuboid with dimensions 8 cm by 9 cm by 15 cm is {{ }} $$\text{ cm}^3$$.

Select the triangular prism with the volume of 1800 cm³.

An L-shaped prism has a volume of 250 m³. It also has a length of 12.5 m. The area of the 'L-shape' is {{ }} m².

The volume of this triangular prism is 2100 cm³. The length marked $$x$$ is {{ }} cm. 

The area of a triangle with a base length of 12 cm and a perpendicular height of 7 cm is {{ }} $$\text{ cm}^2$$.

Which of these calculations, will correctly work out the area of this composite rectilinear shape?

A prism is a polyhedron with a base that is a polygon and a parallel opposite face that is identical. The {{ }} edges of the two polygons are joined by parallelograms.   

Which of these equations has a solution of $$x=4$$?

Starting with first line, put the lines of working in the correct order to solve an equation.

Volume of prisms

Lesson outcome