Question : Two cubes each of edge 14 cm are joined to form a single cuboid. What is the volume of the cuboid formed?
Option 1: 5022 cm3
Option 2: 5244 cm3
Option 3: 5666 cm3
Option 4: 5488 cm3
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Correct Answer: 5488 cm3
Solution : Let's denote the edge length of each cube as, Edge = 14 cm The length and width of the cuboid are Length = Width = 14 cm and the height is ⇒ H = 2 × Edge = (2 × 14) cm So, the volume = L × W × H = 14 × 14 × (2 × 14) = 14 × 14 × 28 = 5488 cm3 Hence, the correct answer is 5488 cm3.
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Question : Two cubes each of edge 9 cm are joined to form a single cuboid. What is the total surface area of the cuboid formed?
Option 1: 775 cm2
Option 2: 810 cm2
Option 3: 990 cm2
Option 4: 1024 cm2
Question : Two cubes of iron whose edges are 7 cm and 11 cm are melted and formed into a single cube. Find the volume of the new cube formed.
Option 1: 1881 cm3
Option 2: 1674 cm3
Option 3: 1444 cm3
Option 4: 1221 cm3
Question : 2 cubes each of volumes 125 cm3 are joined end to end. The surface area of the resulting cuboid is:
Option 1: 325 cm2
Option 2: 350 cm2
Option 3: 125 cm2
Option 4: 250 cm2
Question : The length, breadth, and height of a cuboid are 40 cm, 20 cm, and 10 cm, respectively. What is the volume of this cuboid?
Option 1: 16000 cm3
Option 2: 8000 cm3
Option 3: 2000 cm3
Option 4: 4000 cm3
Question : The height of a cone is 12 cm and the radius of its base is 14 cm. What is the volume of the cone?
Option 1: 2464 cm3
Option 2: 2692 cm3
Option 3: 2248 cm3
Option 4: 2872 cm3
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