Mensuration 2D

In an examination, $52\%$ students failed in Hindi and $42\%$ in English. If $17\%$ failed in both the subjects, what percentage of students passed in both the subjects?

The amount of space occupied by a three dimensional objects is called its_______?

The ratio of heights of two cylinders is $3:2$and the ratio of their radii is $6:7$. What is the ratio of their curved surface areas?

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

The side of a square is $40 \mathrm{cm}$. If its sides increased by $25\%$, what will be a percent increase in its area?

The ratio between the curved surface area and the total surface area of right circular cylinder is$1:2$ . If the total surface area is $616 {\mathrm{cm}}^2$, the volume of cylinder is _____.

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 $\pi =\frac{22}{7}$)

If $\mathrm{ABCD}$ is a rhombus then ${\mathrm{AB}}^2+{\mathrm{BC}}^2+{\mathrm{CD}}^2+{\mathrm{AD}}^2$ is equal to (where diagonal bisect at $\mathrm{O}$) ______

A boat having a length $3\mathrm{m}$ and breadth $2\mathrm{m}$ is floating on a lake. The boat sinks by $1\mathrm{cm}$ when a man gets on it. The mass of the man is_____.

The length, breadth and height of a cuboid are in the ratio $3 : 4 : 6$ and its volume is $576 {\mathrm{cm}}^3$. Find the whole surface area of the cuboid.

A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex touches the opposite face of the cube. If the volume of the cube is $343 {\mathrm{cm}}^3$. What is the approximate volume of the cone?

Two cones have their heights in the ratio $1 : 2$ and the diameters of their bases are in the ratio $2 : 1$. What will be the ratio of their volumes?

The perimeter of a square and a rectangle is$48$ m each. The differences between the areas of the two is $4$ m^$2$. The measurements of the rectangle (in metres) are

A right-angled isosceles triangle is inscribed in a semi-circle of radius $7 \mathrm{cm}$. The area enclosed by the semicircle but exterior to the triangle is:

Two small circular parks of diameters $16 \mathrm{m}, 12 \mathrm{m}$ are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park occupies the same space as the two small parks?

If the base radius and the height of a right circular cone are increased $40\%$, then find the net $\%$ increase in volume _____.

Find out the number of triangles in the given figure.

Which of the following number is correct on the face opposite the face showing $2$. If a dice is thrown four times and its four different positions are given below.

The perimeter of a circle, a square and an equilateral triangle are same, and their areas are C, S and T respectively. Which of the following statement is true?

If the volume and the surface area of a sphere are numerically equal, them the numerical value of then radius of the sphere is _____.