Measurement：練習問題

A bottle contains \(1.25\text{ L}\) of water. After pouring out \(450\text{ mL}\) and then adding \(200\text{ mL}\) back in, how many milliliters of water are in the bottle?

A right-angled triangle has two sides that are perpendicular to each other, measuring \(8\text{ cm}\) and \(15\text{ cm}\). What is the area of this triangle?

An open-top rectangular tank has a length of \(40\text{ cm}\), a width of \(25\text{ cm}\), and a height of \(30\text{ cm}\). It is filled with water to a depth of \(15\text{ cm}\). If a solid metal cube with a side length of \(10\text{ cm}\) is placed into the tank and sinks to the bottom, what is the new height of the water level?

An equilateral triangle has a perimeter of \(27\text{ cm}\). What is the length of each side?

A composite shape is formed by placing a square with sides of \(5\text{ cm}\) on top of a rectangle that is \(10\text{ cm}\) long and \(5\text{ cm}\) wide, such that their \(5\text{ cm}\) sides coincide perfectly. What is the total area of the combined shape?

A rectangular swimming pool has a length of \(20\text{ m}\) and a width of \(15\text{ m}\). If the total area of the pool and its surrounding concrete path is \(450\text{ m}^2\), what is the area of the concrete path alone?

A rectangular prism has a length of \(10\text{ cm}\), a width of \(6\text{ cm}\), and a height of \(4\text{ cm}\). If it is cut into two identical smaller rectangular prisms by a horizontal cut halfway up the height, what is the volume of each smaller prism?

A rectangular field has an area of \(200\text{ m}^2\). If the width of the field is \(8\text{ m}\), what is the perimeter of the field?

A large water tank contains \(4.5\) liters of water.
(a) Convert the volume of water into milliliters (ml).
(b) If a gardener uses \(850\text{ ml}\) to water some flowers and \(1.2\text{ liters}\) to water a vegetable patch, how many milliliters of water are used in total?
(c) How many milliliters of water are left in the tank?

A rectangular plot of land measures \( 32\text{ m} \) by \( 18\text{ m} \).
(a) What is the area of the plot in square meters?
(b) If a square pond with a side length of \( 6\text{ m} \) is built inside the plot, how much land area remains for the garden?
(c) What is the perimeter of the remaining garden area if the pond is in the very center?