Area and volume unit test

1. What is the formula for the area of a rectangle?

Answer: Area = length x width

2. Find the area of a rectangle with length 5 cm and width 3 cm.

Answer: Area = 5 cm x 3 cm = 15 cm²

3. What is the formula for the area of a circle?

Answer: Area = π x radius²

4. Find the area of a circle with a radius of 4 cm. (Take π = 3.14)

Answer: Area = 3.14 x 4² = 3.14 x 16 = 50.24 cm²

5. What is the formula for the volume of a cube?

Answer: Volume = side length³

6. Find the volume of a cube with a side length of 6 cm.

Answer: Volume = 6 cm x 6 cm x 6 cm = 216 cm³

7. What is the formula for the volume of a cylinder?

Answer: Volume = π x radius² x height

8. Find the volume of a cylinder with a radius of 2 cm and height of 8 cm. (Take π = 3.14)

Answer: Volume = 3.14 x 2² x 8 = 3.14 x 4 x 8 = 100.48 cm³

9. What is the formula for the volume of a rectangular prism?

Answer: Volume = length x width x height

10. Find the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm.

Answer: Volume = 4 cm x 3 cm x 5 cm = 60 cm³

Overall, the unit test covers the calculation of areas and volumes of different shapes such as rectangles, circles, cubes, cylinders, and rectangular prisms. It tests your understanding of the relevant formulas and your ability to apply them in various scenarios.