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5.065 Volume of composite solids

Worksheet
Volume of composite solids
1

Find the volume of the following composite solids:

a
b
c
d
e
f
2

Find the volume of the following solids. All measurements are in metres. Round your answers to two decimal places where necessary.

a
b
3

Find the volume of the following composite figures. Round your answers to two decimal places.

a
b
4

This solid consists of a rectangular prism with a smaller rectangular prism cut out of it.

Find the volume of the solid.

5

A triangular tunnel is made through a rectangular prism as shown in the figure:

Find the volume of the solid formed.

Application
6

The outline of a paddy field used to grow rice is pictured on the right:

a

Find the area of the rice paddy.

b

Throughout the monsoon season, the rice paddy receives 16 \text{ cm} of rain. What volume of water, in cubic metres, has fallen on the paddy?

7

The image on the right shows the outline of a construction site for the foundations of a large office building:

a

Find the area of the construction site.

b

Prolonged rainstorms bring 0.21 \text{ m} of rain to the region and the foundations of the building are flooded. Determine the volume of water in the construction site.

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Outcomes

MS11-4

performs calculations in relation to two-dimensional and three-dimensional figures

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