面積與體積

The figure above represents a $50\text{ m}\times20\text{ m}$ swimming pool. The pool is in the shape of a prism with a rectangular surface and four vertical walls. The dimensions of the sidewall $ABCDEF$ are as shown in the figure. What is the capacity of the pool in $\text{m}^3$?

The radius of a sector is $3\text{ cm}$ and the perimeter is $10\text{ cm}$. What is the area of the sector?

The cone in Figure (b) is formed by bending the sector in Figure (a). The angle of the sector is $60^\circ$ and the radius is $12\text{ cm}$. The radius of the base of the cone is

The length of a side of a rhombus is $10\text{ cm}$. If its shorter diagonal is of length $12\text{ cm}$, what is the area of the rhombus in $\text{cm}^2$?

What is the area, in $\text{cm}^2$, of an equilateral triangle of side $x\text{ cm}$?

$A$, $B$, $C$ are three spheres. If $\dfrac{\text{Surface area of }A}{\text{Surface area of }B}=4$ and $\dfrac{\text{Volume of }B}{\text{Volume of }C}=2$, then $\dfrac{\text{Volume of }A}{\text{Volume of }C}=$

In the figure, the areas of the surfaces $A$, $B$, $C$ of the cuboid are $10\text{ cm}^2$, $14\text{ cm}^2$ and $35\text{ cm}^2$ respectively. What is the volume of the cuboid?

The perimeter of a sector is $16$ and its angle is $2$ radians. What is the area of the sector?

In the figure, diameter $AB=2$. $\angle CAB=\dfrac{\pi}{10}$ rad. Minor arc $BC=$