Pre-Secondary One Hong Kong Attainment Test · Mathematics
4 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Volume (cm³, m³).
A container in the shape of a rectangular prism has a base measuring \(20\text{ cm}\) by \(15\text{ cm}\). It contains water to a depth of \(8\text{ cm}\). When a stone is completely submerged in the water, the water level rises to \(12.5\text{ cm}\). What is the volume of the stone?
The capacity of a large fish tank is \(0.18\text{ m}^3\). If the base area of the tank is \(4500\text{ cm}^2\), what is the height of the tank in centimetres?
A metal cube with side length \(10\text{ cm}\) is melted and recast into a rectangular block with a base area of \(25\text{ cm}^2\). What is the height of the rectangular block?
A rectangular swimming pool is \(50\text{ m}\) long and \(25\text{ m}\) wide. If the water level is raised by \(20\text{ cm}\), what is the volume of water added in cubic metres?
A rectangular fish tank is \(50\text{ cm}\) long, \(30\text{ cm}\) wide, and \(20\text{ cm}\) high. What is the volume of the tank in \(\text{cm}^3\)?
Write your answer out first, then check it against the worked solution.
A rectangular tank has a base area of \(240\text{ cm}^2\) and contains water to a height of \(15\text{ cm}\). When a solid metal cube with a side length of \(6\text{ cm}\) is completely submerged in the tank, what is the new height of the water level in cm?
Write your answer out first, then check it against the worked solution.
A rectangular gift box has a length of 12 cm and a width of 5 cm. If the volume of the box is 420 cm³, find the height of the box in centimetres.
Write your answer out first, then check it against the worked solution.
A rectangular water tank has a base area of \(250\text{ cm}^2\) and is filled with water to a depth of \(15\text{ cm}\).
(a) Find the volume of water in the tank in \(\text{cm}^3\).
(b) If a metal cube with side length \(10\text{ cm}\) is placed into the tank and it is completely submerged, what is the new water level in \(\text{cm}\)?
Write your answer out first, then check it against the worked solution.
* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.
This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.
Want more questions like these? Get a fresh set on this topic, marked as you go.
Practise More