\( \begin{array}{ll}\text { (a) } 100 \% & \text { (b) } 300 \% \\ \text { (c) } 500 \% & \text { (d) } 700 \%\end{array} \) 2. The length, width and height of a rectangular box are 10 cm 8 cm and 12 cm respectively. How many cubes of side 2 cm can be stacked in it? \( \begin{array}{ll}\text { (a) } 480 & \text { (b) } 240\end{array} \)

To solve the problem of how many cubes of side 2 cm can be stacked in a rectangular box with dimensions 10 cm, 8 cm, and 12 cm, we need to calculate the volume of the box and then divide it by the volume of a single cube. Given: - Length of the box = 10 cm - Width of the box = 8 cm - Height of the box = 12 cm - Side length of the cube = 2 cm 1. Calculate the volume of the box: \[ \text{Volume of the box} = \text{Length} \times \text{Width} \times \text{Height} \] 2. Calculate the volume of a single cube: \[ \text{Volume of a single cube} = \text{Side length}^3 \] 3. Divide the volume of the box by the volume of a single cube to find out how many cubes can be stacked in the box. Let's calculate the volume of the box and the volume of a single cube, and then find out how many cubes can be stacked in the box. Calculate the value by following steps: - step0: Calculate: \(10\times 8\times 12\) - step1: Multiply the terms: \(10\times 96\) - step2: Multiply the numbers: \(960\) Calculate or simplify the expression \( 2^3 \). Calculate the value by following steps: - step0: Calculate: \(2^{3}\) - step1: Evaluate the power: \(8\) Calculate or simplify the expression \( 960/8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{960}{8}\) - step1: Reduce the numbers: \(\frac{120}{1}\) - step2: Calculate: \(120\) The volume of the box is 960 cubic centimeters, and the volume of a single cube is 8 cubic centimeters. Therefore, 120 cubes of side 2 cm can be stacked in the box. So, the correct answer is (a) 120.