# 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.

**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 coneβs 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