Worksheet: Pyramids and Cones
In this worksheet, we will practice solving problems using the properties of the pyramid and the right cone.
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.
How many lateral faces are there in a regular pentagonal pyramid?
True or false: the heights of lateral faces of right pyramids are equal in length.
- A false
- B true
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
How many edges are there in a regular pentagonal pyramid?
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
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
A square pyramid is 36 cm high. If its slant height is 60 cm, what is the side of its base?
A square pyramid has base length 72 cm. If its height is 15 cm, what is its slant height?
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.
A circular sector of radius 80 and angle is folded into a right circular cone. What is the height of this cone?
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
The figure below shows the net of a right cone. If is 42 cm and the cone’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
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
How many lateral edges are there in a regular pentagonal pyramid?
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 , , ,
Complete the sentence: A pyramid has parallel faces.
Determine, to the nearest hundredth, the height of the solid formed by the given net.
Find the height of the solid formed by the net below to the nearest hundredth.
The square based pyramid has base(s).
How many vertices does a triangular pyramid have?
What is the height of the square pyramid shown? Give your answer to the nearest hundredth.
True or false: lateral faces of a right pyramid are congruent.
- A true
- B false
True or false: a triangular pyramid has three faces.
- A false
- B true