Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Pyramids and Cones

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

Find the slant height of the figure below.

  • A √ 1 5 7 cm
  • B 11 cm
  • C √ 1 7 cm
  • D 6 cm

Q2:

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
  • Cheight, length of lateral edge, slant height
  • Dslant height, height, length of lateral edge

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:

𝑀 𝐴 𝐡 𝐢 𝐷 is a right quadrilateral pyramid whose base is a rhombus 𝐴 𝐡 𝐢 𝐷 , where 𝐴 𝐢 = 1 1 c m and 𝐡 𝐷 = 5 8 c m , and 𝑁 is the point of intersection of its diagonals. If the height of the pyramid 𝑀 𝑁 = 7 8 c m , find the lengths of its lateral edges rounded to the nearest hundredth.

  • A 𝑀 𝐴 = 7 8 . 1 9 c m , 𝑀 𝐡 = 8 3 . 2 2 c m , 𝑀 𝐢 = 7 8 . 1 9 c m , 𝑀 𝐷 = 8 3 . 2 2 c m
  • B 𝑀 𝐴 = 7 8 . 7 7 c m , 𝑀 𝐡 = 9 7 . 2 0 c m , 𝑀 𝐢 = 7 8 . 7 7 c m , 𝑀 𝐷 = 9 7 . 2 0 c m
  • C 𝑀 𝐴 = 7 6 . 7 8 c m , 𝑀 𝐡 = 7 6 . 7 8 c m , 𝑀 𝐢 = 7 6 . 7 8 c m , 𝑀 𝐷 = 7 6 . 7 8 c m
  • D 𝑀 𝐴 = 2 9 . 5 2 c m , 𝑀 𝐡 = 2 9 . 5 2 c m , 𝑀 𝐢 = 2 9 . 5 2 c m , 𝑀 𝐷 = 2 9 . 5 2 c m

Q6:

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

  • A 2 4 √ 1 1
  • B 8 √ 1 0 1
  • C 6 √ 2
  • D 2 4 0 √ 1 1

Q7:

The figure below shows the net of a right cone. If 𝐴 𝑀 is 92 cm and the cone’s circular base is 352 cm, what is the height of the cone? You may use 2 2 7 for πœ‹ .

  • A 1 2 √ 3 7 cm
  • B 56 cm
  • C 148 cm
  • D 2 0 √ 2 9 cm

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 2 4 √ 3 m
  • B 1 8 √ 5 m
  • C 6 √ 5 3 m
  • D 48 m

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œ‹ ?

  • A 4 2 √ 1 3 cm
  • B 126.66 cm
  • C 210 cm
  • D 4 2 √ 5 cm

Q10:

Complete the sentence: A pyramid has parallel faces.

  • Aalways
  • Bnever
  • Csometimes

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).

  • A1
  • B2
  • C4
  • D3

Q18:

How many vertices does a triangular pyramid have?

  • A4
  • B6
  • C1
  • D8

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?

  • 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

Q22:

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

  • A true
  • B false

Q23:

True or false: a triangular pyramid has three faces.

  • A true
  • B false

Q24:

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

  • A true
  • B false

Q25:

𝑀 𝐴 𝐡 𝐢 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 = 6 . 5 3 c m , slant height = 6 . 9 3 c m
  • B height = 9 . 2 4 c m , slant height = 8 . 9 4 c m
  • C height = 7 . 7 5 c m , slant height = 4 . 0 0 c m
  • D height = 7 . 6 6 c m , slant height = 6 . 9 3 c m
Preview