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 is depicted on the picture. Hash marks on each side of the cube indicates congruence to its measurement, so if one side is measured as $6$ cm, it means that all sides are equal to $6$ 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

ACMGM019

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

ACMGM020

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

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