The surface area of a pyramid | Maths | Quizalize & Oak National Academy

Starter quiz

The net of a cylinder is made from two congruent circles and a ______.

'rectangle' ✓
A cylindrical tube is cut and unfolded into a rectangle. Find the values of $a$ and $b$ on the lengths of the rectangle.

$a=18$ ✓

$a=10$

$b=10 \pi$ ✓

$b=5 \pi$

$b=10$
Which formula gives the surface area of the curved surface of a cylinder of radius $r$ and height $h$ ?

Surface area of curved surface = $2\pi r h$ ✓

Surface area of curved surface = $\pi r h$

Surface area of curved surface = $\pi r^2 h$

Surface area of curved surface = $2 \pi r^2 + 2\pi r h$

Surface area of curved surface = $2\pi r^2 h$
Find the surface area of a cylinder with radius 6 cm and height 9 cm. Give your answer correct to 3 significant figures.

226 cm²

283 cm²

339 cm²

565 cm² ✓

1130 cm²
A cylinder has a radius of 3 m and a height of 6 m. The surface area of the cylinder, in terms of $\pi$ , is ______ $\pi$ m².

'54' ✓
The surface area of this cylinder is 120π cm². The length of marked $x$ is ______ cm.

'11' ✓

Which of these 3D shapes is a pyramid?
Which of these shapes are polyhedrons?

cone

cube ✓

cylinder

hexagonal prism ✓

pyramid ✓
Jun describes a 3D shape. Jun says, "My shape has an apex that is directly above a vertex of its square base. All the faces other than the base are triangles." What is Jun's shape?

oblique square-based pyramid ✓

oblique triangular-based pyramid

right square-based pyramid

right triangular-based pyramid

triangular prism
The diagram shows a pyramid and its net. Match each length marked on the net to the correct measurement on the pyramid.

$a$

⇔

0.4 m ✓

$b$

⇔

0.29 m ✓

$c$

⇔

0.352 m (3 s.f.) ✓

not a marked length on the net

⇔

0.21 m ✓
The diagram shows a pyramid and its net. The surface area of the pyramid is ______ m². Do not round your answer.

'0.392' ✓
The surface area of this pyramid is ______ cm².

' 1440' ✓

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Pupils may think that a cone is a pyramid.

Remind pupils that a pyramid has a polygonal base, so a cone cannot be a pyramid as the base is a circle, which is not a polygon.

Pyramid - A pyramid is a 3D shape that has a polygonal base and triangular faces that meet at an apex.
Apex - The apex is the point (vertex) which is the greatest perpendicular distance from the base.
Right pyramid - When the apex lies directly above the centre of the base, then it is called a right pyramid.
Oblique pyramid - An oblique pyramid is when the apex is not directly above the centre of the base.