Lesson Worksheet: Volume and Capacity Eleven Plus

In this worksheet, we will practice using nets of cuboids and solving volume and capacity problems.


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


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


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


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


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


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


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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