SSC CPO 2024 PYQ — Question 108

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q108

A rectangular sheet of metal is 60 cm by 25 cm. Equal squares of side 5 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. Find the volume of the box.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 3750 cm3

As seen from the figure

When equal squares of sides 5 cm are cut off and the remainder if folded, we obtain a cuboid

Length of the cuboid = 50 cm

Breadth of the cuboid = 15 cm

Height of the cuboid = 5 cm 

Hence volume = LBH = 50 × 15 × 5= 3750 cm3