MATH SOLVE

3 months ago

Q:
# Shaun’s tent (shown below) is a triangular prism. What is the the surface area, including the floor, of his tent?

Accepted Solution

A:

Answer:The surface area of the ten t including the floor is 52.8 m².Step-by-step explanation:We are given that,Shaun's tent consists of 3 rectangles and 2 triangles.1. The dimensions of the rectangles are 5 × 3 meters.Since, Area of the rectangle = Length × Width i.e. Area of 3 rectangles = 3 × Length × Width i.e. Area of 3 rectangles = 3 × 5 × 3 = 45 m²Thus, area of the 3 rectangles is 45 m².2. The dimensions of the triangles are base= 3 meter and height= 2.6 meterAs, Area of the triangle = [tex]\frac{1}{2}\times Base\times Height[/tex]i.e. Area of 2 triangles = [tex]2\times \frac{1}{2}\times Base\times Height[/tex]i.e. Area of 2 triangles = [tex]Base\times Height[/tex]i.e. Area of 2 triangles = [tex]3\times 2.6[/tex]i.e. Area of 2 triangles = 7.8 m²Thus, area of 2 triangles is 7.8 m².So, the total surface area of the prism = Area of rectangles + Area of trianglesi.e. Total surface area = 45 + 7.8 = 52.8 m²Hence, the surface area of the ten t including the floor is 52.8 m².