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 Mensuration 24 Flashcards |
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What is the formula for the area of a rectangle? |
Card: 1 / 24 |
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The area of a rectangle is calculated using the formula A = length × width. For example, if the length is 5 units and the width is 3 units, the area is 5 × 3 = 15 square units. |
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How do you find the circumference of a circle? |
Card: 3 / 24 |
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The circumference of a circle is found using the formula C = 2πr, where r is the radius. For example, if the radius is 4 units, the circumference is C = 2 × π × 4 = 8π units. |
Card: 4 / 24 |
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What is the volume of a cylinder? |
Card: 5 / 24 |
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The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. For example, if the radius is 3 units and the height is 5 units, the volume is V = π × (3)² × 5 = 45π cubic units. |
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If the length of a side of a square is doubled, how does the area change? |
Card: 7 / 24 |
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If the length of a side of a square is doubled, the area increases by a factor of four. The area of a square is A = side². If the original side is s, the new area becomes (2s)² = 4s², which is four times the original area. |
Card: 8 / 24 |
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A triangle has a base of 10 units and a height of 6 units. What is its area? |
Card: 9 / 24 |
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The area of a triangle is calculated using the formula A = ½ × base × height. For this triangle, the area is A = ½ × 10 × 6 = 30 square units. |
Card: 10 / 24 |
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What is the formula for the volume of a sphere? |
Card: 11 / 24 |
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The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius. For example, if the radius is 3 units, the volume is V = (4/3) × π × (3)³ = 36π cubic units. |
Card: 12 / 24 |
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How do you calculate the surface area of a cube? |
Card: 13 / 24 |
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The surface area of a cube is calculated using the formula SA = 6a², where a is the length of a side. For example, if a = 2 units, the surface area is SA = 6 × (2)² = 24 square units. |
Card: 14 / 24 |
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What is the formula for the area of a trapezium? |
Card: 15 / 24 |
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The area of a trapezium is calculated using the formula A = ½ × (base1 + base2) × height. For example, if base1 = 6 units, base2 = 4 units, and height = 5 units, the area is A = ½ × (6 + 4) × 5 = 25 square units. |
Card: 16 / 24 |
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A cone has a radius of 3 units and a height of 4 units. What is its volume? |
Card: 17 / 24 |
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The volume of a cone is calculated using the formula V = (1/3)πr²h. For this cone, the volume is V = (1/3) × π × (3)² × 4 = 12π cubic units. |
Card: 18 / 24 |
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What is the formula for the perimeter of a rectangle? |
Card: 19 / 24 |
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The perimeter of a rectangle is calculated using the formula P = 2(length + width). For example, if the length is 5 units and the width is 3 units, the perimeter is P = 2(5 + 3) = 16 units. |
Card: 20 / 24 |
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If the height of a cylinder is tripled while the radius remains constant, how does the volume change? |
Card: 21 / 24 |
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The volume of a cylinder is given by V = πr²h. If the height is tripled, the new volume becomes V = πr²(3h) = 3πr²h, which means the volume also triples. |
Card: 22 / 24 |
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A circle has a diameter of 10 units. What is its area? |
Card: 23 / 24 |
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The area of a circle is calculated using A = πr². The radius r is half of the diameter, so r = 10/2 = 5 units. Therefore, the area is A = π(5)² = 25π square units. |
Card: 24 / 24 |
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