Volume (Cubes and cuboids): Practice Questions

A cube has a side length of 3 cm. What is its volume in cubic centimetres?

The volume of a cuboid is \(360\text{ cm}^3\). The area of its base is \(45\text{ cm}^2\). What is the height of the cuboid in cm?

Six identical cubes, each with a side length of \(5\) cm, are glued together to form a single solid cuboid row. What is the total volume of this solid in \(\text{cm}^3\)?

Which of the following units is used to measure the volume of a very large shipping container?

A cuboid has a length of 10 cm, a width of 4 cm, and a height of 5 cm. What is its volume in \(\text{cm}^3\)?

The base area of a cuboid is \(32\text{ cm}^2\) and its height is \(9\text{ cm}\). Find the volume of the cuboid in \(\text{cm}^3\).

A cuboid has a volume of \(360\) \(\text{cm}^3\). If its length is \(12\) cm and its height is \(3\) cm, find its width in cm.

A rectangular container is \(20\) cm long, \(15\) cm wide, and \(10\) cm high. It is exactly half-filled with water. If another \(600\) \(\text{cm}^3\) of water is poured into the container, what will be the new height of the water level in cm?

A rectangular storage box has a length of \(30\) cm, a width of \(20\) cm, and a height of \(15\) cm. Calculate the volume of the box in cubic centimetres.

A rectangular tank with a base of \(20\) cm by \(15\) cm and a height of \(25\) cm is filled with water up to a height of \(18\) cm.
(a) Find the volume of the tank in \(\text{cm}^3\).
(b) Find the volume of the water in the tank in \(\text{cm}^3\).
(c) If \(500\) \(\text{cm}^3\) of water is poured out, what is the remaining volume of water?