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16.02 Volume of rectangular prisms

Worksheet
Rectangular prisms
1

Find the volume of the following rectangular prisms:

a
b
c
d
e
2

Find the volume of the following cubes:

a
b
3

Find the volume of a cube that has a side length of 14\text{ m}.

4

Find the side length of a cube that has a volume of 27\text{ cm}^3.

Composite solids
5

Find the volume of the following composite solids:

a
b
c
d
e
f
Applications
6

A tank has a length of 9\text{ m}, width of 4\text{ m} and depth of 8\text{ m} . Find the volume of the tank.

7

A container has the shape of a rectangular prism with dimensions 50\text{ cm}, 30\text{ cm}, and 60\text{ cm}. Find the volume of the container.

8

Find the maximum volume of water this aquarium can hold:

9

A box is 2\text{ m} long, 30\text{ cm} high and 40\text{ cm} wide. Find the volume of the box in cubic centimetres.

10

The larger prism has had two identical holes carved out of it, each of which is a rectangular prism. Find the volume of the remaining solid, correct to two decimal places. All measurements are in metres.

11

A regular box of cereal is in the shape of a rectangular prism and measures 24\text{ cm} by 12\text{ cm} by 19\text{ cm}.

a

Find the volume of the box of cereal.

b

The company that makes these cereal boxes also makes a jumbo size box, which is twice as long, twice as wide, and twice as tall as the regular size boxes.

i

Find the volume of the jumbo box of cereal.

ii

Is the volume of the jumbo box twice the volume of the regular box?

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Outcomes

MA4-14MG

uses formulas to calculate the volumes of prisms and cylinders, and converts between units of volume

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