面積與體積

The length, width and height of a cuboid are in the ratios $3:2:1$. If the total surface area of the cuboid is $88\text{ cm}^2$, find its volume.

In the figure, there are nine circles, each of radius 1. Find the shaded area.

In the figure, $AM=MB=MC=5$ and $BC=6$. The area of triangle $ABC=$

In the figure, an equilateral triangle is inscribed in a circle of radius 1. The circumference of the circle is greater than the perimeter of the triangle by

Three equal circles of radii 1 touch each other as shown in the figure. Find the area of the shaded region.

In the figure, $ABCD$ is a square and $AE=BE$. $\dfrac{\text{Area of }AED}{\text{Area of }ABCD}=$

A right conical vessel placed on horizontal ground contains some water as shown in the figure. If $AD:DB=2:3$, then $\dfrac{\text{volume of empty space}}{\text{volume of water}}=$

In the figure, $ABCD$ and $WXYZ$ are sectors of equal radii. If arc $BCD$ : arc $XYZ=s:t$, then which of the following is/are true?

In the figure, $O$ is the centre of two concentric circles. $AB$ is tangent to the smaller circle. If $AB=2$, find the area of the shaded part.

In the figure, $O$ is the centre of the circle of radius 6 cm. The area of the shaded part is