New
New
Year 11
Foundation

Checking and securing understanding of surface area of cuboids

I can efficiently calculate the surface area of cubes and cuboids.

New
New
Year 11
Foundation

Checking and securing understanding of surface area of cuboids

I can efficiently calculate the surface area of cubes and cuboids.

Lesson details

Key learning points

  1. The surface area of a solid is the sum of the area of all the faces.
  2. The net of a cuboid can help find the surface area.
  3. The surface area of a cuboid can be found without drawing the net.

Common misconception

When working out the surface area, the pupil may only find the sum of the areas of three faces of a cuboid (for example the visible sides in a 3D drawing), instead of all six faces.

Encourage pupils to sketch the net of the cuboid as part of their solution. This will provide a visual reminder to the pupil to find the area of all six faces, as well as making it easier to check their answer.

Keywords

  • Surface area - The surface area is the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.

  • Net - The net of a 3D object is a 2D representation of its surfaces that can be folded up into the 3D object.

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.
A prism is a __________ 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.
Correct answer: polyhedron
polygonal
pyramid
Q2.
Which of these 3D solids is a prism?
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 240 cm³. Match each base of a cuboid to the correct height.
Correct Answer:Base: 4 cm by 6 cm,Height: 10 cm

Height: 10 cm

Correct Answer:Base: 5 cm by 4 cm,Height: 12 cm

Height: 12 cm

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

Height: 4 cm

Correct Answer:Base: 8 cm by 6 cm,Height: 5 cm

Height: 5 cm

Correct Answer:Base: 10 cm by 4 cm,Height: 6 cm

Height: 6 cm

Q4.
The volume of this prism is cm³.
An image in a quiz
Correct Answer: 120
Q5.
The volume of this triangular prism is cm³.
An image in a quiz
Correct Answer: 720
Q6.
The volume of this prism is 280 cm³. The height of the prism is cm.
An image in a quiz
Correct Answer: 5.6

6 Questions

Q1.
The surface area is the __________ area of all the surfaces of a closed 3D shape.
product
quotient
Correct answer: total
Q2.
Here is a net of a cube. Which calculations correctly give the surface area of the cube?
An image in a quiz
7 + 7 + 7 + 7 + 7 + 7
Correct answer: 49 × 6
6 × 7
Correct answer: (7 × 7) + (7 × 7) + (7 × 7) + (7 × 7) + (7 × 7) + (7 × 7)
Correct answer: (7 × 7) × 6
Q3.
Here is a net of a cuboid. What is the surface area of the cuboid?
An image in a quiz
24 cm²
48 cm²
176 cm²
Correct answer: 352 cm²
384 cm²
Q4.
The diagram shows the plan view and front and side elevations of a cuboid. The surface area of the cuboid is m².
An image in a quiz
Correct Answer: 78
Q5.
The diagram shows an isometric drawing of a cuboid. The surface area of the cuboid is m².
An image in a quiz
Correct Answer: 496
Q6.
Starting with the cuboid with the smallest surface area, put these cuboids in order of surface area size.
1 - Purple cuboid: width 1 cm, height 4 cm and length 8 cm
2 - Blue cuboid: width 2 cm, height 5 cm and length 5 cm
3 - Red cuboid: width 3 cm, height 4 cm and length 5 cm
4 - Yellow cuboid: width 4 cm, height 4 cm and length 4 cm