Surface area of cuboids | Maths | Quizalize & Oak National Academy

Starter quiz

Select the correct value and units of measure that represent the area of this rectangle.
- 25
- 50
- 144 ✓
- cm
- cm² ✓
Which of these statements about this shape are correct?
- This shape is a trapezium.
- The perimeter of this shape is 100 cm. ✓
- The perimeter of this shape is 625 cm.
- The area of this shape is 100 cm².
- The area of this shape is 625 cm². ✓
The area of this rectangle is 40 cm². The value of $m$ is ______.
- '5' ✓
Starting with the smallest, put the value of each of the four missing lengths ( $a$ , $b$ , $c$ , $d$ ) in order of size.
- 1
  
  ⇔
  
  $b$
- 2
  
  ⇔
  
  $c$
- 3
  
  ⇔
  
  $a$
- 4
  
  ⇔
  
  $d$
In this picture, the square on the left is congruent to each of the squares in the diagram on the right. The area of the diagram on the right is ______ cm².
- '72' ✓
In this picture, the rectangle on the left is congruent to each of the three rectangles in the diagram on the right. The area of one rectangle is ______ cm².
- '72' ✓

Each of these compound shapes are different arrangements of six congruent squares. Which of the compound shapes are nets of a cube?
- a ✓
- b ✓
- c
- d
- e ✓
Which of these compound shapes are nets of a cuboid?
- a
- b ✓
- c
- d ✓
This diagram shows six rectangles that can be connected together to create the net of a cuboid. Match each rectangles to its area.
- a
  
  ⇔
  
  40 cm² ✓
- b
  
  ⇔
  
  10 cm² ✓
- c
  
  ⇔
  
  16 cm² ✓
This is the net of a cuboid. The surface area of the cuboid after this net is folded up is ______ cm².
- '58' ✓
Some of the calculations to find the surface area of this cuboid are given. The value of $b$ is greater than the value of $c$ . Match each missing length or area to its value.
- a
  
  ⇔
  
  2 cm ✓
- b
  
  ⇔
  
  11 cm ✓
- c
  
  ⇔
  
  5 cm ✓
- d
  
  ⇔
  
  174 cm² ✓
- total area of visible faces
  
  ⇔
  
  87 cm² ✓
A cuboid has been drawn on isometric paper, where each unit of isometric paper represents 1 inch. The total surface area of this cuboid is ______ square inches.
- '90' ✓

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Any arrangement of 6 square-faces will result in the net of a cube.

Some arrangements of 6 squares will result in some of them overlapping when the shape is folded into 3D, resulting in an incomplete cube.

Surface area - 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.