5. Pythagoras' Theorem and Measurement

5.01 Pythagoras' Theorem

5.03 Perimeter of composite shapes

5.04 Area of composite shapes

5.05 Finding dimensions from perimeters or areas

5.051 Prisms and cylinders

5.052 Pyramids and cones

5.06 Applications of surface area

5.07 Applications of volume

5.08 Finding dimensions from surface area or volume

Year 11

5.051 Prisms and cylinders

Interactive practice questions

Consider the following cube with a side length equal to $6$6 cm. Find the total surface area.

A three-dimensional cube with single hash mark on each side of the cube. One of the side measures $6$ cm.

Easy

1min

What is the surface area of a cube with side length $4$4 cm?

Easy

< 1min

Consider the following rectangular prism with length, width, and height, equal to $12$12 m, $6$6 m, and $4$4 m, respectively.

Find the surface area of the prism.

Easy

2min

What is the surface area of rectangular prism with dimensions: $4$4 cm by $9$9 cm by $8$8 cm?

Easy

1min

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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