Mensuration

The diameter of a wheel is $3 \mathrm{m}$. The wheel revolves $28$ times in a minute. To cover $5.280 \mathrm{km}$ distance, the wheel will take how much time? (Take $\pi =\frac{22}{7}$)

The volume of rectangular box whose length, breadth and height is $2p, 4q, 8r$, respectively is:

The diagonals of a rhombus are $12 \mathrm{cm}$ and $16 \mathrm{cm}$ respectively. Find the length of one side.

The cost of cultivating a field in the shape of a parallelogram at $50 \mathrm{paise}/{\mathrm{m}}^2$. is $₹ 640$. If the height of the parallelogram is $32 \mathrm{m}$, find the base of field?

Find the area of the greatest circle, which can be inscribed in a square whose perimeter is $120 \mathrm{cm}$.

If the diagonal of cube is $6\sqrt{3} \mathrm{cm}$, then what is the ratio of the product of total surface area and side of the cube to the volume of the cube?

Each interior angle of a regular polygon is 18^o more than eight times an enterior angle. The number of sides of the polygon is -

A wooden box measures $20 \mathrm{cm}$ by $12 \mathrm{cm}$ by $10 \mathrm{cm}$, the thickness of wood is $1 \mathrm{cm}$. Find the volume of wood to make the box (in ${\mathrm{cm}}^3$).

Area of the rectangle of length '$3x$’ and breadth ‘$5y$' Is:

A right cylindrical vessel is full with water. How many right cones having the same diameter and height as that of the right cylinder will be needed to store that water?

The sum of areas of two squares is $468 {\mathrm{cm}}^2$ . If the sum of their perimeters is $120 \mathrm{cm}$, then the difference of their side is

One dimension of a cube is increased by $1 \mathrm{unit}$, another is decreased by $1 \mathrm{unit}$, and the third is left unchanged. The volume of the new rectangular solid is $5 \mathrm{units}$ less than that of the cube. What is the volume of the cube?

The length of a rectangular board is $4$ times that of its breadth. If the area of the board is $256 \mathrm{sq}.$ meters, find its length.

The area of a rectangular field is $2000 \mathrm{sq}.\mathrm{m}$and its perimeter is $180 \mathrm{m}$. Form a quadratic equation by taking the length of the field as $x$ and solve it to find the length and breadth of the field. The length and breadth are _____.

The diagonal of a rectangle is $5 \mathrm{cm}$ and one of at sides is $4 \mathrm{cm}$. Its area is _____.

Ratio of area of a hexagonal park and the diagonal of the park is $7.5\sqrt{3} : 1$. Find the cost of fencing the park at $₹20 \mathrm{per} \mathrm{meter}$:

Cost of tilling the soil of a field is $₹612$. If the cost of tilling the soil is $₹15$ per square meter, find the perimeter of the field, given that the field is regular hexagon shaped: ( take $\sqrt{3}= 1.7$)

The diagonals are $10 \mathrm{cm}$ and $5\sqrt{6} \mathrm{cm}$ and one side is twice of the other of a parallelogram, find its perimeter.

$\mathrm{ABCD}$ is a parallelogram with $\mathrm{DL}\perp \mathrm{AB}$ and $\mathrm{BM}\perp \mathrm{AD}$.

$$\begin{gathered} \mathrm{AB}=30 \mathrm{cm} \\ \mathrm{DL}=12 \mathrm{cm} \\ \mathrm{BM}=18 \mathrm{cm} \end{gathered}$$

Find the length of $\mathrm{BC}$.

If the base of the parallelogram is thrice of its height and area is $432 {\mathrm{cm}}^2$, find the height of the parallelogram.