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AustraliaNSW
Stage 5.1-3

11.13 Further composite solids

Interactive practice questions

Jack has a small square pyramid with a height of $x$x cm and a base side length of $y$y cm and a large pyramid which has dimensions double that of the small pyramid.

a

What are the dimensions of the large pyramid?

Height $=$= $\editable{}$ cm
Base side length $=$= $\editable{}$ cm
b

What is the volume of the large pyramid?

c

How many times can the volume of the small pyramid go into the volume of the large pyramid?

d

If the small pyramid has a volume of $59$59 cm3, what is the volume of the large pyramid?

Easy
4min

A small square pyramid has a height of $x$x m and a base side length of $y$y m. A large pyramid has dimensions triple that of the small pyramid.

Easy
3min

Laura makes a frustum by cutting off a square pyramid halfway from the top, as shown in the diagram below:

Hard
4min

Kenneth makes a frustum by cutting off a square pyramid a third of the way from the top, as shown in the diagram below:

Hard
4min
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Outcomes

MA5.3-13MG

applies formulas to find the surface areas of right pyramids, right cones, spheres and related composite solids

MA5.3-14MG

applies formulas to find the volumes of right pyramids, right cones, spheres and related composite solids

MA5.3-16MG

proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals

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