Volume of prisms

Maths

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.

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