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Q: From a rectangle sheet of dimensions 32 cm × 18 cm, a square of side 3 cm is cut from the four corners of the sheet and a box is made. The volume of the box is:
  • A. 946 cm³
  • B. 1300 cm³
  • C. 936 cm³
  • D. 1305 cm³
Correct Answer: Option C - If square of side 3cm is cut off from corners then height of box = 3 cm Length of box = 32 – (3 + 3) = 26 cm Breadth of box = 18 – (3 + 3) = 12cm Hence, the volume of the box = 26 × 12 × 3 = 936 cm³
C. If square of side 3cm is cut off from corners then height of box = 3 cm Length of box = 32 – (3 + 3) = 26 cm Breadth of box = 18 – (3 + 3) = 12cm Hence, the volume of the box = 26 × 12 × 3 = 936 cm³

Explanations:

If square of side 3cm is cut off from corners then height of box = 3 cm Length of box = 32 – (3 + 3) = 26 cm Breadth of box = 18 – (3 + 3) = 12cm Hence, the volume of the box = 26 × 12 × 3 = 936 cm³