The uniform solid block shown in figure has mass M and edge dimensions a, b, and c. Calculate its rotational inertia about an axis passing through one corner and perpendicular to the large faces.

Explanation

To calculate the rotational inertia (moment of inertia) of a uniform solid block about an axis passing through one corner and perpendicular to the large faces, we can follow these steps:

### Step 1: Identify the dimensions and mass of the block
The block has mass \( M \) and edge dimensions \( a \), \( b \), and \( c \). We need to find the moment of inertia about an axis that passes through one corner of the block and is perpendicular to the large faces.

### Step 2: Understand the axis of rotation
The axis of rotation is perpendicular to the plane formed by the dimensions \( a \) and \( b \). This means we can treat the block as a rectangular plate of dimensions \( a \) and \( b \) with thickness \( c \).

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