Answer: C
Let the length, breadth, and height of the right rectangular prism be \(3a\), \(2a\), and \(a\) respectively. \[ \therefore\ 2(3a \cdot 2a + 2a \cdot a + a \cdot 3a) = 88 \] i.e., \[ 2(6a^2 + 2a^2 + 3a^2) = 88 \] \[ 22a^2 = 88 \] \[ a^2 = 4 \] \[ a = 2 \] \(\therefore\) Volume = \(3a \cdot 2a \cdot a = 6a^3\) cubic cm \[ = 6 \times 2^3 = 6 \times 8 = 48\ \text{cubic cm} \]
Let the length, breadth, and height of the right rectangular prism be \(3a\), \(2a\), and \(a\) respectively. \[ \therefore\ 2(3a \cdot 2a + 2a \cdot a + a \cdot 3a) = 88 \] i.e., \[ 2(6a^2 + 2a^2 + 3a^2) = 88 \] \[ 22a^2 = 88 \] \[ a^2 = 4 \] \[ a = 2 \] \(\therefore\) Volume = \(3a \cdot 2a \cdot a = 6a^3\) cubic cm \[ = 6 \times 2^3 = 6 \times 8 = 48\ \text{cubic cm} \]