Question:medium

A carpenter constructs two boxes A and B. What is the volume of B?
Statement 1: Volume of A is 16 m3
Statement 2: Length, Breadth and height of B is twice that of A

Updated On: Jan 13, 2026
  • Statement (1) alone is sufficient to answer the question
  • Statement (2) alone is sufficient to answer the question
  • Both the statements together are needed to answer the question
  • Either statement (1) alone or statement (2) alone is sufficient to answer the question
  • Neither statement (1) nor statement (2) suffices to answer the question
Show Solution

The Correct Option is C

Solution and Explanation

The correct answer is option (C):
Both the statements together are needed to answer the question

Here's the breakdown of why the answer "Both the statements together are needed to answer the question" is correct:

The question asks for the volume of box B.

* Statement 1: Tells us the volume of box A is 16 m3. This is helpful, but we want the volume of B. We have no direct connection between A and B from this statement.

* Statement 2: Tells us that the dimensions (length, breadth, and height) of box B are twice those of box A. This is crucial because it establishes a relationship between the sizes of the two boxes.

To find the volume of B, we need to know how the volumes of A and B relate. The dimensions of B being twice those of A is the key.

Let's say the dimensions of A are l, b, and h, so the volume of A is l*b*h = 16 m3 (from statement 1). The dimensions of B are 2l, 2b, and 2h (from statement 2). Therefore, the volume of B is (2l)*(2b)*(2h) = 8l*b*h. Since we know l*b*h = 16, the volume of B = 8 * 16 = 128 m3.

Therefore, we needed both statements to find the volume of B. Statement 1 gives the volume of A and Statement 2 relates the dimensions of A and B, which allows us to calculate the volume of B.
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