2026 · Q66
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?
Elementary MathematicsMensuration
- A6 cm
- B7.5 cm
- C8 cm
- D8.5 cm
Explanation
The box volume is x(48−2x)(36−2x) cm³=5.12 litres=5120 cm³. Trying x=8: 8×32×20=5120 exactly, so x=8 cm, option C. The other options fail: x=6 gives 6·36×24=5184 cm³ and x=7.5 does not satisfy the volume equation either.