Question 1 :
The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d133f59b460d7261f3f2.JPG' /> From the above image, find the area of the trapezium PQRS.

Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bcf59b460d7261f4b7.JPG' /> Refer to the above image. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA. Then they cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and $\angle B = 90^{\circ}$, Find the total area cleaned by the students.

Question 4 :
A rectangular plot is given for constructing a house, having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3 m, wide space should be left in the front and back each and 2 m wide space on each of other sides. Find the largest area where house can be constructed.

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d135f59b460d7261f3f6.JPG' /> From the above image, how much paper of green shade is needed to make a kite in which ABCD is a square with diagonal 44 cm?

Question 7 :
Find the length of each side of an equilateral triangle having an area of $9\sqrt{3}$ $cm^2$.

Question 8 :
From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.

Question 9 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find the cost of plastering this curved surface at the rate of Rs 40 per $m^2$.Assume $\pi$ =$\frac{22}{7}$

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d236f59b460d7261f566.jpeg' /> In the above image, 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 cm with a 3.5 cm radius? You may take $\pi$=$\frac{22}{7}$ .

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d236f59b460d7261f567.jpeg' /> In the above image, a corn cob, shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 $cm^2$ of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob.

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23bf59b460d7261f56e.jpeg' /> In the above image, a metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its total surface area.Assume $\pi$ =$\frac{22}{7}$.

Question 13 :
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. Find the ratios of the surface areas of the balloon in the two cases.

Question 14 :
The students of a Vidyalaya were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?Assume $\pi$ =$\frac{22}{7}$.

Question 15 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making the box.

Question 16 :
It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same?Assume $\pi$ =$\frac{22}{7}$.

Question 17 :
The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.

Question 18 :
A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per $cm^3$ , find the mass of the shot-putt.

Question 19 :
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in $mm^3$ ) is needed to fill this capsule?

Question 20 :
Curved surface area of a right circular cylinder is 4.4 $m^2$ . If the radius of the base of the cylinder is 0.7 m, find its height.Assume $\pi$ =$\frac{22}{7}$.

Question 21 :
The paint in a certain container is sufficient to paint an area equal to 9.375 $m^2$ . How many bricks of dimensions $22.5cm\times10cm\times7.5cm$ can be painted out of this container?

Question 22 :
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per $m^3$.

Question 23 :
A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs 12.50 per $m^2$.Assume $\pi$ =$\frac{22}{7}$.

Question 24 :
If we have a cuboid whose length, breadth and height are 15 cm, 10 cm and 20 cm respectively, then its surface area would be:

Question 25 :
The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. Find the ratio of their volumes.