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 Mensuration 30 Flashcards |
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What is the formula for calculating the area of a trapezium? |
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Area formula for trapezium
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The perimeter of a rectangle with length 10 cm and width 5 cm is ___ cm. |
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The perimeter is calculated as 2 × (length + width) = 2 × (10 + 5) = 30 cm. |
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True or False: The volume of a cylinder is calculated using the formula πr²h. |
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True. The volume of a cylinder is indeed calculated using the formula πr²h, where r is the radius and h is the height. |
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Fill in the blank: The area of a rhombus can be calculated as half of the product of its ___ and ___. |
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Diagonals |
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If the height of a trapezium is 4 cm and the lengths of the parallel sides are 8 cm and 12 cm, calculate the area. |
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Area = ½ × (8 + 12) × 4 = ½ × 20 × 4 = 40 cm². |
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What is the lateral surface area of a cylinder with radius 4 cm and height 5 cm? |
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Lateral surface area = 2πrh = 2 × π × 4 × 5 = 40π cm². |
Card: 12 / 30 |
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True or False: The surface area of a cube is calculated as 6s², where s is the length of a side. |
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True. The surface area of a cube is calculated using the formula 6s². |
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Calculate the volume of a cuboid with length 3 cm, breadth 4 cm, and height 5 cm. |
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Volume = l × b × h = 3 × 4 × 5 = 60 cm³. |
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Fill in the blank: The unit of area is ___ and the unit of volume is ___. |
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Square units; cubic units |
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What is the area of a general quadrilateral if the two triangles formed by its diagonal have areas of 15 cm² and 25 cm²? |
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The area of the quadrilateral is the sum of the areas of the two triangles: 15 cm² + 25 cm² = 40 cm². |
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The volume of a cube with side length 2 cm is ___ cm³. |
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Volume = s³ = 2³ = 8 cm³. |
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True or False: The perimeter of a circle is referred to as its diameter. |
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False. The perimeter of a circle is referred to as its circumference. |
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If the radius of a sphere is 3 cm, what is its volume? |
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Volume = (4/3)πr³ = (4/3)π(3)³ = 36π cm³. |
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Calculate the surface area of a cuboid with dimensions 2 cm × 3 cm × 4 cm. |
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Surface area = 2(lb + bh + lh) = 2(2×3 + 3×4 + 2×4) = 2(6 + 12 + 8) = 2(26) = 52 cm². |
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Fill in the blank: The volume of a cylinder can also be expressed as the product of the base area and the ___. |
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Height |
Card: 30 / 30 |
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Completed! Keep practicing to master all of them. |
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