A wooden block is shaped as a solid cuboid measuring 12 cm by 8 cm by 6 cm. Hakim cuts out a smaller cuboid of 5 cm by 4 cm by 3 cm from one corner of the block. What is the volume of the remaining solid in cubic centimetres?
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Worked Solution
Step 1: Find the volume of the original cuboid.
Volume of big cuboid = length × breadth × height = 12 × 8 × 6 = 576 cm³.
Step 2: Find the volume of the small cuboid that was cut out.
Volume of small cuboid = 5 × 4 × 3 = 60 cm³.
Step 3: The remaining solid's volume = original volume − cut-out volume.
Remaining = 576 − 60 = 516 cm³.
Step 4: The remaining solid has a volume of 516 cm³.
Answer: 516 cm³
Correct answer: 516 cm³
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