 |  Mensuration 30 Flashcards |  Start |
 | What is mensuration? |  Card: 1 / 30 |
| Mensuration is a branch of mathematics that deals with the measurement of geometric figures and their parameters like length, area, volume, and surface area. | Card: 2 / 30 |
| How do you calculate the area of a rectangle? | Card: 3 / 30 |
| The area of a rectangle is calculated by multiplying its length by its width. The formula is Area = Length × Width. | Card: 4 / 30 |
| What is the formula for the volume of a cylinder? | Card: 5 / 30 |
| The volume of a cylinder is calculated using the formula Volume = πr²h, where r is the radius of the base and h is the height of the cylinder. | Card: 6 / 30 |
| If the radius of a circle is doubled, how does it affect the area? | Card: 7 / 30 |
| If the radius of a circle is doubled, the area increases by a factor of four. This is because the area A = πr²; if r is doubled (2r), the new area is A = π(2r)² = 4πr². | Card: 8 / 30 |
| Calculate the surface area of a cube with a side length of 3 cm. Hint: Use the formula Surface Area = 6s², where s is the length of a side. | Card: 9 / 30 |
| Using the formula Surface Area = 6s²: Surface Area = 6(3 cm)² = 6(9 cm²) = 54 cm². | Card: 10 / 30 |
| What is the area of a circle with a radius of 4 cm? Hint: Use the formula Area = πr². | Card: 11 / 30 |
| Area = π(4 cm)² = π(16 cm²) = 16π cm². | Card: 12 / 30 |
| Find the volume of a sphere with a radius of 5 cm. Hint: Use the formula Volume = (4/3)πr³. | Card: 13 / 30 |
| Volume = (4/3)π(5 cm)³ = (4/3)π(125 cm³) = (500/3)π cm³. | Card: 14 / 30 |
| What is the formula for the perimeter of a triangle? Hint: The perimeter is the sum of all sides. | Card: 15 / 30 |
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| Perimeter = a + b + c, where a, b, and c are the lengths of the sides of the triangle. | Card: 16 / 30 |
| How do you find the total surface area of a cylinder? Hint: Total Surface Area = 2πr(h + r). | Card: 17 / 30 |
| Total Surface Area = 2πr(h + r), where r is the radius and h is the height of the cylinder. | Card: 18 / 30 |
| Calculate the area of a trapezium with bases 6 cm and 10 cm, and height 4 cm. Hint: Use the formula Area = ½(h(a + b)). | Card: 19 / 30 |
| Area = ½(4 cm)(6 cm + 10 cm) = ½(4 cm)(16 cm) = 32 cm². | Card: 20 / 30 |
| What is the lateral surface area of a cone with radius 3 cm and slant height 5 cm? Hint: Use the formula LSA = πrl. | Card: 21 / 30 |
| LSA = π(3 cm)(5 cm) = 15π cm². | Card: 22 / 30 |
| Determine the volume of a cuboid with dimensions 4 cm, 5 cm, and 6 cm. Hint: Use the formula Volume = l × b × h. | Card: 23 / 30 |
| Volume = 4 cm × 5 cm × 6 cm = 120 cm³. | Card: 24 / 30 |
| What is the area of a scalene triangle with sides 5 cm, 6 cm, and 7 cm? Hint: Use Heron's formula: Area = √[s(s−a)(s−b)(s−c)], where s = (a + b + c)/2. | Card: 25 / 30 |
| S = (5 + 6 + 7)/2 = 9; Area = √[9(9−5)(9−6)(9−7)] = √[9×4×3×2] = √(216) = 6√6 cm². | Card: 26 / 30 |
| How do you calculate the area of a rhombus with diagonals 8 cm and 6 cm? Hint: Use the formula Area = ½(d1 × d2). | Card: 27 / 30 |
| Area = ½(8 cm × 6 cm) = 24 cm². | Card: 28 / 30 |
| What is the formula for the area of a circle? | Card: 29 / 30 |
| The area of a circle is calculated using the formula Area = πr², where r is the radius of the circle. | Card: 30 / 30 |
| Completed! Keep practicing to master all of them. |  Restart |
