Area of Square

Q.

A rectangular sheet of width $14cm$ is revolved along its width and a cylinder of radius $20cm$ is formed. find the volume of the cylinder.

Q. A square sheet with side 2π cm is rolled into a cylinder along one of its sides. What is the volume of the cylinder?

1. 8${\pi }^3$ cm${}^3$
2. 2${\pi }^2$ cm${}^3$
3. 4${\pi }^2$ cm${}^3$
4. 2${\pi }^4$ cm${}^3$

Q. The length of a square field and a rectangle field are 80m and 100m respectively.ifperimeter of both fields is same, find the breadth of rectangular field

Q. Find the area of a square if its diagonal is 5 cm.

1. 12.5 $c{m}^2$
2. 20 $c{m}^2$
3. 25 $c{m}^2$
4. 50 $c{m}^2$

Q. The perimeter of a square is numerically equal to its area. Find its area.

Q. The thickness of a hollow metallic cylinder is 2 cm. It is 35 cm long and its inner radius is 12 cm. find the volume of metal required to make the cylinder, assuming it is open, at either end.

Q.

Use the net to find the surface area of the regular pyramid.

Q. 2. Length of a diagonal of a rectangle is 10cm.area is 62.5sqcm, sum of their length and breadth.

Q.

Find the perimeter of a square of side 10m. Express your answer in cm. [1 MARK]

Q.

If the edge length of a square is $a$ units, the area of the square is $\frac{a^2}{2}$ square units.

1. True

2. False

Q.

Each side of a square is increasing at a rate of $6\mathrm{cm}\mathit{/}s$. At what rate is the area of the square increasing when the area of the square is $16{\mathrm{cm}}^2$?

Q.

Mary wants to cover a gift box whose dimensions are 8cm x 6 cm x 2 cm with square stamps of side 2 cm each.How many stamps she has to collect so as to cover the entire gift box?

1. 46
2. None of these
3. 32
4. 38

Q.

How many litres of water can a vessel of length 33 cm, breadth 77 cm and height 22 cm contain when it is full ?

1. 75.902 litres

2. 65.902 litres

3. 55.902 litres

4. 54.902 litres

Q.

Find the area of the square if its perimeter is $720cm.$

Q. Question 7
The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per $m^2$ is Rs 4.

Q. Area of square ABCD is 400 $c{m}^2$. Find the area of rhombus PQRS.

1. 400 $c{m}^2$
2. 200 $c{m}^2$
3. 100 $c{m}^2$
4. 800 $c{m}^2$

Q. If the area of square ABIH is 16 sq cm and that of square IDEF is 9 sq cm, then what is the area of square ACEG (in ${\text{cm}}^2$)?

1. 36
2. 49
3. 64
4. 25

Q.

If the volume of a cubic block is 27000 cubic centimeter, then the length of its side is ___ cm.

1. 30

2. 300

3. 450

4. 40

Q. what is the area of a square field if its perimeter is 96m

Q.

A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is $0.8m^3$?

Q.

A rectangle is $25mby9m$. Find the side of the square whose area equals the area of the rectangle. By how much does the perimeter of the rectangle exceed the perimeter of the square?

Q. A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed .Find the volume of the cylinder.

Q.

If the perimeter of a square is $36cm,$then its area is

1. $6sq.cm$

2. $9sq.cm$

3. $18sq.cm$

4. $81sq.cm$

Q. The square field has area $196m^2$. Find the length of the wire required to fence it around $3$ times

Q. The length of a rectangle exceeds its breadth by $9cm$. If length and breadth are each increased by $3cm$, the area of the new rectangle will be $84c{m}^2$ more than that of the given rectangle. Find the length and breadth of the given rectangle.

Q. What is the perimeter of the rectangle whose area is 16 sq. cm and the length of one of its side is 8 cm?

1. 2 cm
2. 20 cm
3. 2 sq cm
4. 20 sq cm

Q. In △ ABC , D and E are the points on line AB and AC respectively , such that DE \vert\vert BC and ar(△ ADE) = 48 sq.cm ., 5AD= 4DB . Find the area of △ BEC :

Q. The floor of a building consists of 3, 000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per $m^2$ is ₹ 4.

Q. In a class, each student donated to fund as twice the number of students in the class. No of students is if the total amount is ₹1, 250.

1. 15
2. 25
3. 30
4. 35

Q. A rhombus has diagonals of length $a$ and ($a$+$\sqrt{a}$) units. If the area of the rhombus is $12$, then $a$ equals to

1. $4$
2. $2$
3. $3$
4. $9$