The problem asks us to state the assumptions made while calculating the approximate surface area of a shed that will be painted. We are given the dimensions of the shed. We need to determine the geometric shapes that make up the shed and what parts of the shed are assumed to be painted or not painted.
2025/4/10
1. Problem Description
The problem asks us to state the assumptions made while calculating the approximate surface area of a shed that will be painted. We are given the dimensions of the shed. We need to determine the geometric shapes that make up the shed and what parts of the shed are assumed to be painted or not painted.
2. Solution Steps
First, we need to approximate the shape of the shed. We can decompose the shed into a triangular prism (for the roof) and a rectangular prism (for the main body).
Next, we consider the dimensions given. The rectangular prism has dimensions 10 ft (length), 8 ft (width), and 7 ft (height). The triangular prism has a height of 2 ft and a length of 10 ft.
Now, let's consider the parts of the shed we assume will be painted or not. It makes sense to assume the doors will be painted along with the rest of the walls. The problem statement only mentions Maddic painting the shed in her backyard and approximating the surface area of the shed that will be painted. It makes sense to assume that only the exterior surface of the shed will be painted. Thus, it is assumed the floor of the shed will not be painted. We also assume the roof is not painted since it is a separate structure.
3. Final Answer
[Surface Area] ft; I assumed that the shed could be modeled by a triangular prism and a rectangular prism. I also assumed that the doors will be painted but the roof and the floor of the shed will not be painted.