A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand

Explanation

To find the volume of wood in the pen stand, we need to calculate the volume of the cuboid and then subtract the total volume of the conical depressions. Here is the step-by-step solution:

### Step 1: Calculate the Volume of the Cuboid
The volume \( V \) of a cuboid is given by the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given dimensions of the cuboid:
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