Volume (cm³, m³)：練習問題

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 \(\text{cm}^3\)?

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?

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.

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 \(\text{cm}\)?