Question
Download Solution PDFA cuboid with dimensions 20cm, 12cm, and 10 cm is cut into 8 identical pieces by 3 cuts. What will be the total surface area of all the pieces?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length (L) = 20 cm
Breadth (B) = 12 cm
Height (H) = 10 cm
The cuboid is cut into 8 identical pieces.
Formula used:
Surface Area of cuboid = 2(L × B + L × H + B × H)
Surface Area of each piece = 2(L/2 × B/2 + L/2 × H/2 + B/2 × H/2)
Calculation:
Surface Area of cuboid = 2(20 × 12 + 20 × 10 + 12 × 10)
⇒ 2(240 + 200 + 120)
⇒ 2 × 560 = 1120 cm2 (Surface area of the original cuboid)
Surface Area of one smaller piece = 2(10 × 6 + 10 × 5 + 6 × 5)
⇒ 2(60 + 50 + 30)
⇒ 2 × 140 = 280 cm2 (Surface area of one small cuboid)
Total Surface Area of 8 pieces = 8 × 280
⇒ Total Surface Area = 2240 cm2
∴ The correct answer is option (2).
Last updated on May 28, 2025
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