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RRB NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

A closed wooden rectangular box made of 1 cm thick wood has the following outer dimensions: length 22 cm, breadth 17 cm, and height 12 cm. It is filled to capacity with cement. What is the volume of the cement in the box?

A
1488 cu. cm
B
3000 cu. cm
C
4488 cu. cm
D
2880 cu. cm
Result Summary
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RRB NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
A closed wooden rectangular box made of 1 cm thick wood has the following outer dimensions: length 22 cm, breadth 17 cm, and height 12 cm. It is filled to capacity with cement. What is the volume of the cement in the box?
Correct Answer
3000 cu. cm
Conceptual Approach: The volume of the cement filling the box depends strictly on the *internal* dimensions of the wooden box, not the outer ones.Accounting for......
Ref/Book : RRB NTPC Graduate Tier 1 2016
Ref. Subject Mensuration
Chapter -
Ref. Topic 3D Figures
Pg. No -
💡 Analysis & Explanation
Conceptual Approach ▼
The volume of the cement filling the box depends strictly on the *internal* dimensions of the wooden box, not the outer ones.
Accounting for Thickness ▼
Since the box is closed and made of 1 cm thick wood, we must subtract the thickness of the wood from both sides for every dimension (i.e., subtract 2 cm from length, breadth, and height).
Dimension Calculation ▼
Internal Length (L) = 22 - 2 = 20 cm. Internal Breadth (B) = 17 - 2 = 15 cm. Internal Height (H) = 12 - 2 = 10 cm.
Volume Computation ▼
Volume of the cuboid space = L * B * H = 20 * 15 * 10 = 3000 cubic centimeters.
Conclusion ▼
The exact volume of cement required is 3000 cu. cm.
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