• Numerical Ability - Mensuration
Question

A rectangular sheet of metal is 40cm by 15cm. Equal squares of side 5cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is

  • A) 750cm3
  • B) 720cm3
  • C) 680cm3
  • D) 650cm3
  • E) None of these
Solution

Answer – A.750cm3 
Explanation :
Length of rectangular sheet = 40 cm
Breadth of rectangular sheet = 15 cm
Since, squares of side 5 cm are cut off from the corner of the sheet.
Therefore, new length = 40 – (5 + 5) cm = 30 cm
new breadth = 15 – (5 + 5) cm = 5 cm
Now, volume of the open box = (30 × 5 × 5) cm3 = 750 cm3

Answer – A.750cm3 
Explanation :
Length of rectangular sheet = 40 cm
Breadth of rectangular sheet = 15 cm
Since, squares of side 5 cm are cut off from the corner of the sheet.
Therefore, new length = 40 – (5 + 5) cm = 30 cm
new breadth = 15 – (5 + 5) cm = 5 cm
Now, volume of the open box = (30 × 5 × 5) cm3 = 750 cm3

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