AustraliaNSW
Stage 5.1-3

# 7.09 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
Approx 4 minutes

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.

This question investigates the scaling of pyramids.

A pyramid has a volume of $648000$648000 m3. If a model is made in the ratio $1:60$1:60, what is the volume of the model?

### 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