CDS 2026 · PYQ · Mensuration / Volume of Box · medium
A metallic sheet of rectangular shape is 48 cm × 36 cm. From each corner a square of side x cm is cut off and an open box is made of the remaining sheet. If the box holds 5.12 litre of water, then what is the value of x?
A.6 cm
B.7.5 cm
C.8 cm✓ Correct
D.8.5 cm
Explanation
After cutting squares of side x from each corner and folding, dimensions of box are (48−2x) × (36−2x) × x. Volume = 5.12 litres = 5120 cm³. So (48−2x)(36−2x)(x) = 5120. Testing x = 8: (48−16)(36−16)(8) = 32 × 20 × 8 = 5120 cm³. ✓
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