Lesson 5 · Cost Estimation

Surface Area of Pyramid

MathematicsSubject
8 minEstimated read
1How many triangular surfaces are there in a square-based pyramid?
2Do all the triangular surfaces have equal area? Why?
3What are the shapes of the surfaces of the pyramid and what are their areas?
4Show that the lateral surface area of a square-based pyramid is \( 2al \).
5Find the lateral and total surface areas of a square-based pyramid with base side 10 cm and slant height 8 cm.
6A square-based pyramid has base side 16 cm and edge 17 cm. Find its total surface area.
7Find the total surface area of a square-based pyramid whose base side is 12 cm and vertical height is 8 cm.
8A square-based pyramid has total surface area 96 cm² and slant height 5 cm. Find the side of its base and its vertical height.
9Why can no pyramid have base side 8 cm and slant height 3 cm?
10A square-based pyramid has base side 10 cm and lateral surface area 260 cm². Find its slant height and vertical height.