# Lesson Worksheet: Surface Areas of Pyramids Mathematics • 6th Grade

In this worksheet, we will practice calculating the lateral and total surface areas of pyramids using their formulas.

**Q7: **

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

**Q8: **

In a square pyramid with base side 30 cm, the distance between the apex and any base vertex is 56 cm. Determine, to the nearest integer, the surface area of the pyramid.

**Q9: **

Find the surface area of the given square pyramid.

**Q10: **

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

**Q11: **

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

**Q12: **

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

**Q13: **

Determine the surface area of the given regular triangular pyramid.

**Q14: **

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?

**Q15: **

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

**Q17: **

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.

- A1,948.8 cm
^{2}, 3,019.4 cm^{2} - B5,846.4 cm
^{2}, 6,917.0 cm^{2} - C2,923.2 cm
^{2}, 3,993.8 cm^{2} - D2,923.2 cm
^{2}, 3,335.3 cm^{2}

**Q18: **

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.

**Q19: **

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

- A
- B
- C
- D

**Q20: **

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.

**Q21: **

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

**Q22: **

Determine the height of a square pyramid having a surface area of 700 cm^{2} and a lateral surface area of 504 cm^{2}.

- A18 cm
- B cm
- C14 cm
- D cm

**Q23: **

A square pyramid has slant height 49 cm and lateral surface area
490 cm^{2}. What is the perimeter of its
base?

**Q24: **

If the slant height of a regular triangular pyramid is cm, find the sum of areas of its faces rounded to the nearest whole number.

**Q25: **

A regular hexagonal pyramid has a height of 16 cm and a base perimeter of cm. Determine its total surface area to the nearest hundredth.