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Lesson 5.7: Solve Problems Using Models



 1. 

What is the volume of the prism formed from this net?
               mc001-1.jpg

a.
1870 cm3
b.
1780 cm3
c.
1078 cm3
d.
1087 cm3
 

 2. 

What is the volume of the cylinder formed from this net? Round your answer to one decimal place.
                 mc002-1.jpg
a.
1244.0 cm3
b.
131.1 cm3
c.
1424.0 cm3
d.
311.1 cm3
 

 3. 

What is the volume of the prism formed from this net? Round your answer to one decimal place.
                mc003-1.jpg
a.
238.9 cm3
b.
388.6 cm3
c.
727.7 cm3
d.
777.2 cm3
 

 4. 

A cylindrical candle is placed in a square-based box. What is the volume of the box?
                          mc004-1.jpg

a.
450 cm3
b.
540 cm3
c.
504 cm3
d.
405 cm3
 

 5. 

What is the volume of the candle from question 4? Round your answer to the nearest cubic centimetre.
a.
283cm3
b.
244 cm3
c.
424 cm3
d.
283 cm3
 

 6. 

What is the volume of the empty space in the box with the candle from question 4?
a.
116 cm3
b.
232 cm3
c.
161 cm3
d.
323 cm3
 

 7. 

A collector set containing the hockey pucks of the Original Six teams is sold in a gift box. Each puck has a diameter of 7.5 cm and is 2.5 cm thick. What is the volume of one of the pucks. Round your answer to one decimal place.

                  mc007-1.jpg
a.
139.0 cm3
b.
103.9 cm3
c.
130.2 cm3
d.
110.4 cm3
 

 8. 

What are the dimensions of the gift box that contains the pucks from question 7?
a.
2.5 cm wide, 15 cm long, and 22.5 cm high
b.
22.5 cm wide, 2.5 cm long, and 15 cm high
c.
22.5 cm wide, 15 cm long, and 2.5 cm high
d.
22.5 cm wide, 1.5 cm long, and 25 cm high
 

 9. 

What is the volume of the gift box that contains the pucks from question 7?
a.
844 cm3
b.
857 cm3
c.
748 cm3
d.
486 cm3
 

 10. 

Determine the volume of the empty space in the gift box from question 7.
a.
763.3 cm3
b.
373.4 cm3
c.
733.4 cm3
d.
181.6 cm3
 



 
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