Volume of prisms | Maths | Quizalize & Oak National Academy

Starter quiz

The area of a triangle with a base length of 12 cm and a perpendicular height of 7 cm is ______ $\text{ cm}^2$ .
- '42' ✓
Which of these calculations, will correctly work out the area of this composite rectilinear shape?
- $15\times8-2\times7$
- $6\times7+2\times15$ ✓
- $2\times7+6\times7$
- $8\times7+2\times8$ ✓
- $15\times8-6\times8$ ✓
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.
- 'corresponding' ✓
Select all the units of area.
- $\text{cm}^2$ ✓
- $\text{cm}$
- $\text{cm}^3$
- $\text{feet}^2$ ✓
- $\text{hectare}$ ✓
Which of these equations has a solution of $x=4$ ?
- $3x+6=18$ ✓
- $9x=36$ ✓
- $7x+5=19$
- $12x-19=17$
- $5x+6=2(x+9)$ ✓
Starting with first line, put the lines of working in the correct order to solve an equation.
- 1
  
  ⇔
  
  $7x+6=20$
- 2
  
  ⇔
  
  $7x=14$
- 3
  
  ⇔
  
  $x=2$

______ is the amount of space occupied by a closed 3D shape.
- 'Volume' ✓
All units for volume are ______ units, such as cm³ or feet³.
- 'cubed' ✓
The volume of a cuboid with dimensions 8 cm by 9 cm by 15 cm is ______ $\text{ cm}^3$ .
- '1080' ✓
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.
- '20' ✓
The volume of this triangular prism is 2100 cm³. The length marked $x$ is ______ cm.
- '14' ✓

The shape and area of the base of a prism can be found.
The area of the cross-section multiplied by the length gives the volume of the prism.
This can be used to find the volume of any prism.
Unknown lengths can be found when the volume of a prism is known.

Pupils may multiply all lengths on the diagram rather than find the area of the cross-section.

Draw the cross-sectional polygon out, find the area and then multiply by the length of the prism.

Cross-section - a 2D face made from cutting straight through any plane of a 3D object.
Volume - the amount of space occupied by a closed 3D shape.