1) A cube of side 5 cm is melted and re-cast into smaller cubes of side 1 cm.
How many small cubes are formed?

2) A cuboid tank of size 1.2 m × 0.5 m × 0.4 m is filled with water.

How much water is in the tank in liters?

3) Find the area of the L-shaped room.

4) A square garden has side 10 m.
A 1 m wide path goes around it on all sides.
What is the area of the path?

5) A cuboid has base 6 cm × 5 cm and volume 180 cm³.

What is its height?

6) A circular field has area 154 m².
What is its radius? (Use π = 3.14)

7) A square of side 10 cm has a circle of radius 5 cm drawn inside it.
Find the area of the shaded region (outside the circle). (Use π = 3.14)

8) A rectangular garden is 180 m long and 150 m wide.
The cost of fencing per metre is ₹25.

Find:
(i) the area of the garden,
(ii) the cost of fencing the garden when fencing is done twice around the garden.

9) A rectangular sheet of paper has a length of 30 cm and a breadth of 20 cm.
A square of side 5 cm is cut out from each of its four corners.
What is the area of the remaining sheet?
What is the perimeter of the remaining sheet?

10) Which of the following statements is INCORRECT?

A. The area of a triangle with base 24 cm and height 10 cm is 120 cm².
B. A square with perimeter 64 cm has area 256 cm².
C. Since 1 cm=10 mm, 1 cm²=100 mm². Therefore, 2,500 mm² = 25 cm².
D. Ramesh walks thrice around a 50 m by 30 m rectangle, while Suresh walks twice around a square of side 40 m; Ramesh covers 100 m more.

11) A rectangular park has a length that is twice its breadth.
If the perimeter of the park is 180 meters, what is the area of the park in square meters?

12) Find the length of side of a regular hexagon ⬢ when its perimeter is 96m?

13) A rectangular hall is 15 meters long and 12 meters wide.
It is to be paved with square tiles of side 30 cm.
How many tiles will be required?

14) A rectangular field has a perimeter of 240 meters.
If the length of the field is increased by 10 meters and the breadth is decreased by 10 meters, the new field becomes a square.
What was the original length and breadth of the rectangular field?

15) The length of a rectangle is (3x + 2) cm and its breadth is (x − 1) cm.
What is the perimeter of the rectangle in terms of x?

16) A square park has a side of 35 meters.
A rectangular park has a length of 40 meters and a breadth of 30 meters.
Which park has a larger area, and by how much?

17) A shape is made of two rectangles joined side by side :
One 6 cm × 2 cm, the other 4 cm × 2 cm, to form a bigger rectangle.

What is the perimeter of new rectangle?

18) Which of the following statements is INCORRECT?

A. The area of a rectangular garden is 420 m². It is 20 m wide. If fencing costs ₹80 per metre, then the total fencing cost is ₹6,720.
B. A square and a rectangle both have area 144 cm². If the rectangle’s breadth is half the side of the square, then the rectangle’s length is 24 cm.
C. Since 1 m=100 cm and 1 m²=10,000 cm². Therefore, 5 m² = 50,000 cm².
D. Rahul walks twice around a square of side 35 m, while Sara walks once around a rectangle 60 m by 20 m; Rahul covers 120 m more.

19) What is the area of a below square?

20) A cuboid has dimensions 10 cm × 4 cm × 3 cm.
What is the total area of the 4 vertical faces (excluding top and bottom)?