New
New
Year 11
Foundation

Checking and securing understanding of volume of prisms

I can calculate the volume of prisms.

New
New
Year 11
Foundation

Checking and securing understanding of volume of prisms

I can calculate the volume of prisms.

Lesson details

Key learning points

  1. The shape and area of the base of a prism can be found.
  2. The area of the cross-section multiplied by the length gives the volume of the prism.
  3. This can be used to find the volume of any prism.
  4. 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.

For challenge, the volume of a triangular prism could be found using trigonometry.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
The net of a 3D object is a 2D representation of its that can be folded up into the 3D object.
Correct Answer: surfaces, faces
Q2.
A solid is created from irregular quadrilaterals and regular hexagons only. Which of these nets could be for the solid?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q3.
The diagram shows a net of a __________.
An image in a quiz
cone
cuboid
Correct answer: square based pyramid
triangular prism
Q4.
Which of these diagrams show a net for a tetrahedron?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q5.
Which of these diagrams show a net of a cube?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q6.
Which of the following rectangles can be used to create the net of a cuboid?
An image in a quiz
A, B and C
A, F and E
Correct answer: A, C and D
B, C and D
D, E and F

6 Questions

Q1.
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
Correct answer: parallelograms
rectangles
squares
triangles
Q2.
Which of these 3D solids are prisms?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
A set of cuboids each have a volume of 120 cm³. Match each base of a cuboid to the correct height.
Correct Answer:Base: 2 cm by 3 cm,Height: 20 cm

Height: 20 cm

Correct Answer:Base: 5 cm by 2 cm,Height: 12 cm

Height: 12 cm

Correct Answer:Base: 15 cm by 2 cm,Height: 4 cm

Height: 4 cm

Correct Answer:Base: 8 cm by 3 cm,Height: 5 cm

Height: 5 cm

Correct Answer:Base: 10 cm by 4 cm,Height: 3 cm

Height: 3 cm

Q4.
The volume of this prism is cm³.
An image in a quiz
Correct Answer: 180
Q5.
The volume of this triangular prism is cm³.
An image in a quiz
Correct Answer: 672
Q6.
The volume of this prism is 280 cm³. The length of the side $$w$$ is cm.
An image in a quiz
Correct Answer: 4, 4cm