SSC CHSL 2024 PYQ — Question 20

SSC CHSL Tier II - 10 Jan 2024 - Shift 1 • Quantitative Aptitude • Q20

A right rectangular box’s measurement are 1.6 m long, 90 cm wide, 60 cm in height. Soap cakes of measurement 6 cm × 5 cm × 40 mm are to be packed in the box, so that no space is left. How many cakes can be packed in the box?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 7200.

Given that

The length of a rectangular box = 1.6 m = 160 cm

The breadth of the rectangular box = 90 cm

The height of the rectangular box = 60 cm

Soap cakes of measurement 6 cm × 5 cm × 40 mm are to be packed in the box

Let the number of cakes can be packed be N

Formula used

Volume of a cuboid or a rectangular box = Length × Breadth × Height

Calculation

⇒ Volume of a rectangular box = N × Volume of a soap cakes

⇒ 160 × 90 × 60 = N × 6 × 5 × 4

⇒ N = 7200