Ravi has a cube-shaped container with a side length of 12 cm and a cuboid-shaped container with a base of 15 cm by 8 cm. Both containers have the same volume. What is the height of the cuboid?
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Worked Solution
Step 1: Find the volume of the cube.
Volume of cube = side³ = 12 × 12 × 12 = 1728 cm³
Step 2: Since both containers have the same volume, the cuboid volume is also 1728 cm³.
Step 3: Use Volume = length × breadth × height to find the cuboid height.
1728 = 15 × 8 × h
1728 = 120 × h
h = 1728 ÷ 120
h = 14.4 cm
The height of the cuboid is 14.4 cm.
Correct answer: 14.4 cm
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