Quiz

The Pyramid and the Cone — Lesson quiz

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What is the difference between a right pyramid and a regular pyramid?

A right pyramid has a regular polygon base, and a regular pyramid has its apex above the base centre

In a right pyramid the apex lies above the centre of the base; a regular pyramid is a right pyramid whose base is a regular polygon

There is no difference, since every regular pyramid is a right pyramid without any condition

In a right pyramid the apex lies on an edge of the base; a regular pyramid has a circular base

What shape are the lateral faces of a regular pyramid?

Congruent rectangles

Right-angled triangles of different sizes

Congruent isosceles triangles

Congruent trapezoids

A right circular cone has base radius 6 cm and slant height 10 cm. Find its true height.

√136 cm

4 cm

16 cm

8 cm

A regular square pyramid has a base side of 10 cm and a height of 12 cm. Find its slant height.

13 cm

12 cm

√244 cm

22 cm

What relation links the slant height l, the base radius r and the height h of a right circular cone?

l = r + h

l² = r² + h²

r² = l² + h²

l² = r² − h²

In a regular pyramid, which distance is used in the relation l² = h² + m²?

The distance from the centre of the base to the midpoint of one of its sides

The distance from the apex to a vertex of the base

The vertical height of the pyramid from its apex to the base

The length of one lateral edge of the pyramid