Question : A person uses a rectangular metallic sheet of 45 m × 30 m for making an open box. From each corner of the sheet he cut off a square. If the length of one side of each of these squares is 10 m, then what will be the volume of the box (in m³)?
Option 1: 5000
Option 2: 4500
Option 3: 7000
Option 4: 2500

Question

Question : A person uses a rectangular metallic sheet of 45 m × 30 m for making an open box. From each corner of the sheet he cut off a square. If the length of one side of each of these squares is 10 m, then what will be the volume of the box (in m³)?

Option 1: 5000

Option 2: 4500

Option 3: 7000

Option 4: 2500

Team Careers360 · Accepted Answer

Correct Answer: 2500

Solution : Given,
Dimensions of a rectangular sheet = 45 × 30
Length of side of square = 10 m
Volume = l × b × h
Where l = length, b = breadth, h = height
As a square is cut off from each corner
⇒ 2 squares are cut off from each side
⇒ length = 45 – 2(10) = 45 – 20 = 25 m
⇒ breadth = 30 – 2 (10) = 30 – 20 = 10 m
⇒ height = side of the square = 10 m
⇒ Volume = l × b × h = 25 × 10 × 10 = 2500 m³
Hence, the correct answer is 2500 m³.

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