# Worksheet: Pyramids and Cones

In this worksheet, we will practice solving problems using the properties of the pyramid and the right cone.

Q1:

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.

Q2:

Find the slant height of the figure below.

• A 6 cm
• B 11 cm
• C cm
• D cm

Q3:

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

Q4:

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

• A false
• B true

Q5:

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.

• A height , slant height
• B height , slant height
• C height , slant height
• D height , slant height

Q6:

How many edges are there in a regular pentagonal pyramid?

Q7:

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

• Apyramid, 5 vertices, 8 edges, 1 base
• Btriangular prism, 6 vertices, 9 edges, 2 bases
• Cpyramid, 8 vertices, 6 edges, 1 base
• Dtriangular prism, 6 vertices, 7 edges, 1 base

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.

• A m
• B m
• C m
• D 48 m

Q9:

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

Q10:

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

Q11:

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.

Q12:

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

• A
• B
• C
• D

Q13:

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 ?

• A 126.66 cm
• B cm
• C cm
• D 210 cm

Q14:

The figure below shows the net of a right cone. If is 42 cm and the coneβs circular base is 88 cm, what is the height of the cone? You may use for .

• A cm
• B 56 cm
• C cm
• D 14 cm

Q15:

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

• Alength of lateral edge, slant height, height
• Bheight, slant height, length of lateral edge
• Cslant height, height, length of lateral edge
• Dheight, length of lateral edge, slant height

Q16:

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

Q17:

is a right quadrilateral pyramid whose base is a rhombus , where and , and is the point of intersection of its diagonals. If the height of the pyramid , find the lengths of its lateral edges rounded to the nearest hundredth.

• A , , ,
• B , , ,
• C , , ,
• D , , ,

Q18:

Complete the sentence: A pyramid has parallel faces.

• Anever
• Balways
• Csometimes

Q19:

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

Q20:

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

Q21:

The square based pyramid has base(s).

• A2
• B3
• C1
• D4

Q22:

How many vertices does a triangular pyramid have?

• A8
• B1
• C4
• D6

Q23:

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

Q24:

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

• A true
• B false

Q25:

True or false: a triangular pyramid has three faces.

• A false
• B true