Topics
5. Pythagoras' Theorem and Measurement
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AustraliaQLD
Year 11

5.052 Pyramids and cones

Lesson
Worksheet
Practice

Interactive practice questions

Find the surface area of the square pyramid shown. Include all faces in your calculations.

A pyramid with a square base and four lateral faces is displayed. Each side of the square base is marked with single tick, measured as 4 cm in length. A slant height extending from one side of the base through the lateral face to the apex of the pyramid is measured as 7 cm. The slant height is perpendicular to the side of square base, indicated by a right angle symbol.
Easy
1min

Consider the following square pyramid:

Medium
2min

Find the surface area of a square pyramid with base edge $10$10 cm and perpendicular height $5$5 cm.

Medium
3min

Find the surface area of a rectangular pyramid with base $10$10 cm by $5$5 cm and perpendicular height $4$4 cm.

Medium
5min
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Outcomes

1.2.2.2

calculate the volumes and capacities of standard three-dimensional objects, including spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations, such as the volume of water contained in a swimming pool

1.2.2.3

calculate the surface areas of standard three-dimensional objects, e.g. spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations, such as the surface area of a cylindrical food container

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