A small staircase is made so that the horizontal piece of each step 10 inches long and 25 inches wide. Each step is 5 inches above the previous one. What is the surface area of this staircase?

1125 in²  

Step-by-step explanatio1D

Assume that the staircase is three steps high, as in the diagram.

Each tread has a surface area of

10 in × 25 in = 250 in²

Each riser has a surface area of

5 in × 25 in = 125 in²

There are three treads and three risers, so the total surface area is

3 × 250 in² + 3 × 125 in² = 750 in² + 375 in² = 1125 in²

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