Mensuration Tes...

Find the surface area of the following cubes with length of edge
$$4\;cm$$
$$3.2\;cm$$

The area of a trapezium with height $$14\;cm$$ is $$504\;cm^2$$. If the parallel sides are in the ratio $$4\,\colon\,5$$, find their lengths.

The sum of the radius of the base and the height of a solid cylinder is $$37 m$$. If the total surface area of the cylinder be $$1628 sq. m$$, then its volume is: 

The cross section of a canal is in the shape of trapezium. The canal is $$15 m$$ wide at the top and $$9 m$$ wide at the bottom. If the area of the cross section is $$720 m^{2}$$, then the depth of the canal is

The area of a field is in the shape of a trapezium measures $$1440 m^{2}$$. The perpendicular distance between its parallel sides is $$24 m$$. If the ratio of the parallel sides is $$5 : 3$$. What is the length of the longer parallel side?

The shape of the top surface of a table is trapezium. Find its area if its parallel sides are $$1\;m\;and\;1.2\;m$$ and the perpendicular distance between them is $$0.8\;m$$.

The area of a trapezium is $$720\;cm^2$$. The ratio of the parallel sides is $$2\,\colon\,1$$. If the distance between the parallel sides is $$20\;cm$$ then find the length of the parallel sides.

Find the area covered by a road roller of width $$80\;cm$$ and diameter $$140\;cm$$ in $$40$$ revolutions.

Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length $$25\space cm$$ with a $$3.5\space cm$$ radius? You may take $$\left (\pi = \dfrac{22}{7}\right )$$

From a metal sheet in the shape of trapezium with parallel sides $$64\; \text{cm}\;$$ and $$\;100\; \text{cm}$$ and height $$56\; \text{cm},$$ a circle of radius $$7\; \text{cm}$$ are cut out. Find the area of the metal sheet that it left.