10 cm

NEL370 Chapter 11

Getting Started You will need• a calculator• centimetre grid

paper

What dimensions can Hoshi and Tran use for the juicecontainer?

A. What is the least possible volume, in cubic centimetres, for thecontainer? (1 cm3 � 1 mL)

B. About 10% of the space in the container will be empty. How manycubic centimetres do Hoshi and Tran need for the total volume of thecontainer?

C. If the container is 10 cm deep, what must the area of the triangularbase be?

D. What dimensions could Hoshi and Tran use for the triangular base?

?

Designing a Juice ContainerHoshi and Tran are designing a container to hold 1 L of juice. Theydecide to try the shape of a triangular prism.

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4 cm

12 cm

4 cm

5 cm

5 cm

4 cm

25.5 cm

66.0 cm

80.0 cm

23.0 cm

380.0 cm

4.5 cm

8.4 cm

6.2 cm

4.5 m

4.0 cm

3 cm

6 cm

15 cm

NEL Geometry and Measurement Relationships 371

Do You Remember?1. What unit (centimetres, square centimetres,

cubic centimetres, litres, or millilitres)would you use to measure each of thefollowing?

a) the quantity of fuel in a car’s gas tank

b) the length of trim on a blanket

c) the amount of paint to cover a playhouse

d) the space inside a storage box

2. Draw a net for each prism using centimetregrid paper. Calculate the surface area ofeach prism to the nearest square centimetre.

a) b)

3. Sarah is covering the faces of this woodenbox with fabric for a gift. How much fabricwill she need to cover the box?

4. Calculate the area and circumference ofeach circle.

a)

3 cm

4 cm6 cm

5. Calculate the volume of each prism.

a)

8. Centimetre cubes need to be packed in abox that has a volume of 36 cm3. Sketchthree possible boxes that are rectangularprisms.

9. Think of this cement traffic barrier as arectangular prism with a trapezoidal prismon top.

a) What is the area of the base of eachprism?

b) What is the volume of each prism?

c) What is the total volume of the cementneeded to make the traffic barrier?

b)

b)

6. How much water would you need to filleach prism in question 5? (1 cm3 � 1 mL)

7. List the number of edges, faces, andvertices on each prism.

a) b)

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