The figure shows an L-shaped solid made up of two cuboids joined together. The left block measures 12 cm by 4 cm by 8 cm and the right block measures 8 cm by 4 cm by 3 cm. What is the total volume of the solid?
Show Worked Solution
Worked Solution
Method 1 — Split into two cuboids:
Left block: 12 × 4 × 8 = 384 cm³
Right block: 8 × 4 × 3 = 96 cm³
Total = 384 + 96 = 480 cm³
Method 2 — Bounding box minus cut-out:
Full bounding box: 20 × 4 × 8 = 640 cm³
Cut-out piece (upper right): 8 × 4 × 5 = 160 cm³
Total = 640 − 160 = 480 cm³ ✓
Answer: 480 cm³
Correct answer: 480 cm³
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