SSC GD CONSTABLE MATHS(MENSURATION) QUIZ

The ratio between the perimeter and length of a rectangle is 5 : 2. If the area of the rectangle is $256$ cm$^{2}$, then what will be the width (in cm) of the rectangle?

A hollow iron pipe is $14 \mathrm{~cm}$ long and its outer diameter is $6 \mathrm{~cm}$. If the thickness of the pipe is $1 \mathrm{~cm}$ and the weight of iron is $8 \mathrm{~g} / \mathrm{cm}^{3}$, then the weight of the pipe ( in $\mathrm{Kg}$) how much? Use $\left(\pi=\frac{22}{7}\right.$ )

Find the cost of carpeting a room 14 m long and 8 m broad with a carpet 50 cm wide at the rate of ₹ 9.40 per m?

A square of side $6 \sqrt{2} \mathrm{~cm}$ is inscribed in a circle. What is the area (in $\mathrm{cm}^2$ ) of the circle excluding the square (correct to the nearest integer)? (Use $\pi=\frac{22}{7}$ )

If a right circular cone of height $24 \mathrm{~cm}$ has the volume $\frac{17600}{7} \mathrm{~cm}^3$, then its radius is:

The length and the breadth of a rectangle are made to increase and decrease, respectively, by 10% and 12%. What is the percentage increase or decrease in its area?

What is the difference in the volume (in $\mathrm{cm}^3$ ) of a sphere of radius $21 \mathrm{~cm}$ and that of a cone of radius $7 \mathrm{~cm}$ and height $21 \mathrm{~cm} ?$ (Use $\pi=\frac{22}{7}$ )

A rectangular piece of paper is $22 \mathrm{~cm}$ long and $10 \mathrm{~cm}$ wide is rolled along its length and a cylinder is formed. Find the volume of the cylinder.(take $\pi=22 / 7$ )