The decorative block is made of two solids — a cube and a hemisphere. The base of the block is a cube with edge 5 cm, and the hemispherefixed on the top has a diameter of 4.2 cm. Find the total surface area of the block.

Explanation

To find the total surface area of the decorative block made of a cube and a hemisphere, we can follow these steps:

### Step 1: Calculate the surface area of the cube.
The formula for the total surface area of a cube is given by:
\[ \text{Total Surface Area of Cube} = 6a^2 \]
where \( a \) is the length of the edge of the cube.
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