# 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