Discussion
Ramesh has a rectangular wooden block. P, Q and R are the areas of the three adjacent and contiguous faces of the block. If we denote its volume by S, then which of the following is true for sure?
Answer: C
Let the block measure \( l \times b \times h \). The three adjacent faces are
\[ P = lb, \qquad Q = bh, \qquad R = hl \]
Multiplying all three:
\[ PQR = (lb)(bh)(hl) = l^{2}b^{2}h^{2} = (lbh)^{2} \]
\[ \therefore\; S^{2} = PQR \]
Each dimension appears exactly twice in the product, which is what makes the result the square of the volume. It also gives a quick route to the volume: \( S = \sqrt{PQR} \).
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development