Worksheet: Finding the Lateral and Total Surface Areas of a Pyramid

This worksheet will help you practice finding the lateral and total surface areas of a regular pyramid given its slant height and the dimensions of the base.

Q1:

If the given figure was folded into a square pyramid, determine its lateral surface area.

Q2:

Find the total surface area of the given net, to the nearest hundredth.

Q3:

Determine the surface area of the given regular pyramid.

Q4:

Determine the surface area of the given square pyramid, given that all of its triangular faces are congruent.

Q5:

Find the surface area of the given square pyramid.

Q6:

Determine the total area of the following net approximated to the nearest hundredth.

Q7:

Find the total surface area of the regular pyramid in the given figure, approximating the result to the nearest hundredth.

Q8:

Find the surface area of the given pyramid to the nearest tenth.

Q9:

Determine the surface area of the given regular triangular pyramid.

Q10:

Find the total surface area of the given regular pyramid, and approximate the result to the nearest hundredth.

Q11:

Determine the surface area of a pyramid with slant height 15 and a square base of side 10.

Q12:

A square pyramid of base side length 88 cm has lateral edge 92 cm. What is the total surface area of the pyramid, to the nearest whole number?

Q13:

Find the lateral area of a regular hexagonal pyramid with a base edge of 9 centimeters and a lateral height of 19 centimeters.

Q14:

A square pyramid has a lateral surface area of 42 yd². If its slant height is 3 yd, determine its total surface area.

Q15:

Find the lateral and total surface areas of the regular hexagonal pyramid with slant height 48 cm and base side 20.3 cm. Give your answer to the nearest tenth.

A
1 948.8
cm²,
3 019.4
cm²
B
5 846.4
cm²,
6 917.0
cm²
C
2 923.2
cm²,
3 335.3
cm²
D
2 923.2
cm²,
3 993.8
cm²

Q16:

In a square pyramid with base side 122 cm, the distance between the apex and any base vertex is 71 cm. Determine, to the nearest integer, the surface area of the pyramid.

Q17:

If the edge length of a regular triangular pyramid is 136 cm, find the surface area of the pyramid approximated to the nearest integer number.

Q18:

What is the surface area in square centimeters of a regular triangular pyramid given that the sum of its edge lengths is 42.

Q19:

The pyramid of Khafre in Egypt stands 471 feet tall. The sides of its square base are 705 feet long. Find the lateral surface area of the pyramid of Khafre.

Q20:

The surface area of a square pyramid is 104, and its base area is 16. Determine the slant height of that pyramid.

Q21:

Determine the height of a square pyramid having a surface area of 1 152 cm² and a lateral surface area of 1 008 cm².

A 42 cm
B 12 cm
C cm
D cm

Q22:

Determine the height of a square pyramid having a surface area of 2 904 cm² and a lateral surface area of 2 420 cm².

A 55 cm
B 22 cm
C cm
D cm

Q23:

A square pyramid has slant height 19 cm and lateral surface area 228 cm². What is the perimeter of its base?

Q24:

A square pyramid has a lateral surface area of 390 cm² and a slant height of 13 cm. Determine the length of each side of its base.