|
 Solids [Surface Area And Volume Of 3-D Solids] 40 Flashcards |
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What is the formula for the volume of a cuboid? |
Card: 1 / 40 |
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Volume = l × b × h |
Card: 2 / 40 |
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Fill in the blank: A solid has a definite shape and takes up ______. |
Card: 3 / 40 |
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Space |
Card: 4 / 40 |
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True or False: The diagonal of a cuboid is the shortest line segment connecting two corners. |
Card: 5 / 40 |
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False. The diagonal of a cuboid is the longest rod that can fit inside it. |
Card: 6 / 40 |
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What is the total surface area formula for a cube with edge length 'a'? |
Card: 7 / 40 |
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Total surface area = 6a² |
Card: 8 / 40 |
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Riddle: I have six equal faces, all are squares, my volume is a³. What am I? |
Card: 9 / 40 |
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A cube |
Card: 10 / 40 |
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Calculate the lateral surface area of a cuboid with length 4 cm, breadth 3 cm, and height 5 cm. |
Card: 11 / 40 |
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Lateral surface area = 2(4 + 3) × 5 = 70 cm² |
Card: 12 / 40 |
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Fill in the blank: The formula for the cost of an article is ______. |
Card: 13 / 40 |
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Cost = Rate × Quantity |
Card: 14 / 40 |
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True or False: A cube can have different lengths for its edges. |
Card: 15 / 40 |
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False. All edges of a cube are equal. |
Card: 16 / 40 |
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What is the length of the diagonal of a cube with edge length 'a'? |
Card: 17 / 40 |
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Length of diagonal = a√3 |
Card: 18 / 40 |
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Riddle: I flow through pipes, my speed you can measure, my volume per minute can be a treasure. What am I? |
Card: 19 / 40 |
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Water |
Card: 20 / 40 |
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What is the formula for the total surface area of a cuboid? |
Card: 21 / 40 |
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Total surface area = 2(l × b + b × h + h × l) |
Card: 22 / 40 |
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Fill in the blank: A solid with a uniform cross-section has the same shape and size at every point along its ______. |
Card: 23 / 40 |
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Length or height |
Card: 24 / 40 |
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True or False: The volume of a hollow object is calculated by adding the internal and external volumes. |
Card: 25 / 40 |
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False. The volume is found by subtracting the internal volume from the external volume. |
Card: 26 / 40 |
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What is the volume formula for a cylinder with a circular cross-section? |
Card: 27 / 40 |
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Volume = Area of cross-section × Length |
Card: 28 / 40 |
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Riddle: I can be melted and recast, my volume stays the same, but my shape will change. What am I? |
Card: 29 / 40 |
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A solid block of metal |
Card: 30 / 40 |
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Calculate the rise in level of soil spread over a field of area 160 m² with a volume of 40 m³. |
Card: 31 / 40 |
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Rise in level (h) = Volume / Area = 40 / 160 = 0.25 m |
Card: 32 / 40 |
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What is the formula to find the volume per unit time for a pipe with a uniform cross-section? |
Card: 33 / 40 |
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Volume per unit time = Area of cross-section × Speed of flow |
Card: 34 / 40 |
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Fill in the blank: The internal volume of a hollow cuboid is calculated by the formula ______. |
Card: 35 / 40 |
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Volume = (l - 2 × thickness) × (b - 2 × thickness) × (h - 2 × thickness) |
Card: 36 / 40 |
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What is the formula for the total surface area of a cuboid? |
Card: 37 / 40 |
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Total surface area = 2(l × b + b × h + h × l) |
Card: 38 / 40 |
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The volume of a cube is calculated as ______. |
Card: 39 / 40 |
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A³ |
Card: 40 / 40 |
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