Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The maximum number of 4m 50 cm 20 cm slabs that may be stored in a 16m long, 12m wide, and 4m deep trench is:

Options:

1910

1890

1960

1920

Correct Answer:

1920

Explanation:

We know that,

Volume of the plank = length × width × thickness

Given,

 length of the plank = 4 m

Width of the plank = 50 cm = 0.5 m

Thickness of the plank = 20 cm = 0.2 m

Volume of the plank = 4 × 0.5 × 0.2 = 4 m³

Given, length of the pit = 16 m

Breadth of the pit = 12 m

Height of the pit = 40 m

Volume of the pit = 16 × 12 × 40= 7680 m³

Number of planks that can be stored in the pit = = \(\frac{7680 }{4}\) = 1920