Lesson Worksheet: Volume and Capacity Eleven Plus
In this worksheet, we will practice using nets of cuboids and solving volume and capacity problems.
Q1:
A container has a rectangular base of dimensions 50 cm and 12 cm and height of 60 cm.
What is the capacity of the container?
- A600 cm3
- B36 L
- C3 600 cm3
- D360 L
- E720 cm3
Q2:
A rectangular water tank has a capacity of 1 280 L. It has a height of 80 cm.
How high does the water reach when it has 480 L of water inside?
- A30 cm
- B40 cm
- C25 cm
- D20 cm
- E35 cm
Q3:
Which of the following cuboids does not have the same volume as the others?
- AA cuboid of length 3 cm, width 4 cm, and height 3 cm
- BA cuboid of length 1 cm, width 6 cm, and height 6 cm
- CA cuboid of length 4 cm, width 2 cm, and height 4 cm
- DA cuboid of length 2 cm, width 3 cm, and height 6 cm
- EA cuboid of length 9 cm, width 2 cm, and height 2 cm
Q4:
This shape is folded up along the dashed lines to make a box.
What is the capacity of the box?
- A108 cm3
- B24 cm3
- C96 cm3
- D32 cm2
- E104 cm3
Q5:
The shaded corners are cut out of this shape, and it is folded to make a box with no lid.
What is the capacity of the box?
- A40 cm3
- B42 cm3
- C20 cm3
- D30 cm3
- E84 cm3
Q6:
A rectangular water tank has a maximum capacity of 1 300 litres. When it is filled to 55 cm, it contains 1 100 litres.
What is the maximum height that the water reaches?
- A60 cm
- B75 cm
- C65 cm
- D70 cm
- E80 cm
Q7:
What is the largest number of cuboids of the given size that can fit in a cube of length 12 cm?
- A144
- B216
- C288
- D294
- E264
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