Name: 
 

Lesson 8.11: Solving a Problem by Solving a Simpler Problem



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

A large cube has side lengths of 15 cm. It has a cube with side lengths of 6 cm missing from a corner. What is the volume of the large cube with the corner missing?

                        mc001-1.jpg
a.
3576 cm3
b.
3159 cm3
c.
3293 cm3
d.
3382 cm3
 

 2. 

Terry`s little brother has a foam chair that is 45 cm wide, 45 cm deep and 50 cm high. The seat part measures 30 cm by 30 cm by 30 cm. What volume of foam is used for the chair?

                                        mc002-1.jpg
a.
74 250 cm3
b.
73 840 cm3
c.
76 820 cm3
d.
74 780 cm3
 

 3. 

The plan for a swimming pool is shown. How many litres of water are needed to fill the pool? (1 m3 = 1000 L)
                                            mc003-1.jpg
a.
108 000 L
b.
125 000 L
c.
118 000 L
d.
114 000 L
 

 4. 

Marina is building a cement flower box with the dimensions shown in the diagram below. She makes the hole so that it is 10 cm from each edge and 10 cm from the bottom. What volume of cement does Marina use for the flower box?

                                            mc004-1.jpg
a.
52 500 cm3
b.
67 500 cm3
c.
45 800 cm3
d.
50 600 cm3
 

 5. 

Ayla’s parents are buying carpet that costs $12 for each square metre. How much will the carpet cost for the family room?
                           mc005-1.jpg                     
a.
$400
b.
$320
c.
$450
d.
$360
 



 
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