Checking and securing understanding of volume of prisms | Maths

Starter quiz

The net of a 3D object is a 2D representation of its ______ that can be folded up into the 3D object.

'surfaces' ✓
A solid is created from irregular quadrilaterals and regular hexagons only. Which of these nets could be for the solid?
The diagram shows a net of a __________.

cone

cuboid

square based pyramid ✓

triangular prism
Which of these diagrams show a net for a tetrahedron?
Which of these diagrams show a net of a cube?
Which of the following rectangles can be used to create the net of a cuboid?

A, B and C

A, F and E

A, C and D ✓

B, C and D

D, E and F

Exit quiz

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

kites

parallelograms ✓

rectangles

squares

triangles
Which of these 3D solids are prisms?
A set of cuboids each have a volume of 120 cm³. Match each base of a cuboid to the correct height.

Base: 2 cm by 3 cm

⇔

Height: 20 cm ✓

Base: 5 cm by 2 cm

⇔

Height: 12 cm ✓

Base: 15 cm by 2 cm

⇔

Height: 4 cm ✓

Base: 8 cm by 3 cm

⇔

Height: 5 cm ✓

Base: 10 cm by 4 cm

⇔

Height: 3 cm ✓
The volume of this prism is ______ cm³.

'180' ✓
The volume of this triangular prism is ______ cm³.

'672' ✓
The volume of this prism is 280 cm³. The length of the side $w$ is ______ cm.

'4' ✓

Worksheet

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Lesson Details

Key learning points

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.

Common misconception

When questions are in context, the length may be described as the depth or height and this can cause some pupils to struggle if they have learned a formula with a particular word.

Remind pupils that the volume of a 3D shape comes from a product of three perpendicular lengths. The cross-sectional area uses two of the three, so identify the distance that is perpendicular to the cross-sectional face.

Keywords

Volume - Volume is the amount of space occupied by a closed 3D shape.
Prism - A prism is a polyhedron with a base that is a polygon and a parallel opposite face that is identical. The corresponding edges of the two polygons are joined by parallelograms.