Question

The figure above is rectangle solid. Determine which of the following options is / are correct.

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Answer 1

Answer: (C)

The two quantities are equal.

Let the length, breadth, height of rectangular solid be $l,b,h$ respectively.

${AC}^2={AD}^2+{DC}^2$
${BD}^2={AD}^2+{BA}^2$
Here $BA=DC=h$.
Therefore ${AC}^2={BD}^2$ $\Rightarrow AC=BD$.
The correct answer is option $C$.