The tent below is similar to a triangular prism. Calculate the surface area of the tent to find the amount of fabric needed to make the tent.
A tent is shaped like a triangular prism. Its bases have a height measuring 4 feet and a base measuring 5 feet. The faces have a length measuring 8 feet and a width measuring 4.75 feet.
Remember to describe each face of the triangle prism
In simple terms less than 2,000 words
To calculate the surface area of the triangular prism tent, we first need to find the area of each face and then add them together.
The tent has 3 faces: two triangular faces and three rectangular faces.
Triangular Faces:
The triangular faces have a base of 5 feet and a height of 4 feet. To find the area of a triangle, you use the formula: area = 1/2 * base * height. So for each triangular face, the area would be:
1/2 * 5 ft * 4 ft = 10 sq ft
Since there are two triangular faces, the total area for both would be:
10 sq ft + 10 sq ft = 20 sq ft
Rectangular Faces:
The rectangular faces have a length of 8 feet and a width of 4.75 feet. To find the area of a rectangle, you use the formula: area = length * width. So for each rectangular face, the area would be:
8 ft * 4.75 ft = 38 sq ft
Since there are three rectangular faces, the total area for all three would be:
38 sq ft + 38 sq ft + 38 sq ft = 114 sq ft
Now, to find the total surface area of the tent, we add the areas of all the faces together:
20 sq ft (triangular faces) + 114 sq ft (rectangular faces) = 134 sq ft
Therefore, the total surface area of the tent is 134 square feet. This is the amount of fabric needed to make the tent.