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In this lesson, we will learn how to solve problems using the properties of the pyramid and the right cone.

Q1:

Find the slant height of the figure below.

Q2:

Arrange the slant height, length of the lateral edge and height of a regular pyramid in descending order.

Q3:

If the slant height of a right circular cone is 53 cm, and its height is 28 cm, find the length of the radius of its base.

Q4:

How many lateral edges are there in a regular pentagonal pyramid?

Q5:

π π΄ π΅ πΆ π· is a right quadrilateral pyramid whose base is a rhombus π΄ π΅ πΆ π· , where π΄ πΆ = 1 1 c m and π΅ π· = 5 8 c m , and π is the point of intersection of its diagonals. If the height of the pyramid π π = 7 8 c m , find the lengths of its lateral edges rounded to the nearest hundredth.

Q6:

A circular sector of radius 80 and angle 3 6 β is folded into a right circular cone. What is the height of this cone?

Q7:

The figure below shows the net of a right cone. If π΄ π is 92 cm and the coneβs circular base is 352 cm, what is the height of the cone? You may use 2 2 7 for π .

Q8:

The side length of a square-based pyramid is 12 m. If its slant height is 42 m, find the height of the pyramid.

Q9:

A tent is in the shape of a right circular cone of height 126 cm. Given that its base has circumference 527.52 cm, what is its slant height, if we use 3.14 for π ?

Q10:

Complete the sentence: A pyramid has parallel faces.

Q11:

A square pyramid is 36 cm high. If its slant height is 60 cm, what is the side of its base?

Q12:

A square pyramid has base length 72 cm. If its height is 15 cm, what is its slant height?

Q13:

How many edges are there in a regular pentagonal pyramid?

Q14:

Determine, to the nearest hundredth, the height of the solid formed by the given net.

Q15:

A regular hexagonal pyramid has a height of 46 cm, and its base has a perimeter of 192 cm. Find the length of its slant height to the nearest hundredth.

Q16:

Find the height of the solid formed by the net below to the nearest hundredth.

Q17:

The square based pyramid has base(s).

Q18:

How many vertices does a triangular pyramid have?

Q19:

What is the height of the square pyramid shown? Give your answer to the nearest hundredth.

Q20:

How many lateral faces are there in a regular pentagonal pyramid?

Q21:

What is the name of the shape and how many vertices, edges and bases does it have?

Q22:

True or false: lateral faces of a right pyramid are congruent.

Q23:

True or false: a triangular pyramid has three faces.

Q24:

True or false: the heights of lateral faces of right pyramids are equal in length.

Q25:

π π΄ π΅ πΆ is a triangular pyramid with congruent faces. If the side of the base triangle is 8 cm, determine the height and slant height, to the nearest hundredth.

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