To determine the surface area of the tent, we first need to calculate the area of each face of the triangular prism.
There are two triangular faces on the tent, which have a base of 5 feet and a height of 4 feet. The formula to find the area of a triangle is 1/2 * base * height.
For the triangular faces:
Area = 1/2 * 5 ft * 4 ft = 10 square feet
There are also three rectangular faces on the tent, which have a length of 8 feet and a width of 4.75 feet. The formula to find the area of a rectangle is length * width.
For the rectangular faces:
Area = 8 ft * 4.75 ft = 38 square feet
To find the total surface area of the tent, we add up the areas of all the faces:
Total surface area = 2*(triangular face area) + 3*(rectangular face area)
Total surface area = 2*(10 square feet) + 3*(38 square feet)
Total surface area = 20 square feet + 114 square feet
Total surface area = 134 square feet
Therefore, the amount of fabric needed to make the tent would be 134 square feet.
The tent below is shaped like a triangular prism. EXPLAIN how you would determine the surface area of the tent to find the amount of fabric needed to make the tent. Remember to describe each face of the triangular prism.
Georgia Milestones Grade 7 Mathematics Formula Sheet
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.
(2 points)
0 / 10000 Word Limit
Skip to navigation
page 14 of 14
3 answers
can you simplify it?
To simplify, we need to calculate the surface area of each face of the triangular prism and then add them up.
Triangular faces:
Area = 1/2 * base * height
Area = 1/2 * 5 ft * 4 ft
Area = 10 square feet
Rectangular faces:
Area = length * width
Area = 8 ft * 4.75 ft
Area = 38 square feet
Total surface area:
2 triangular faces + 3 rectangular faces
2(10 square feet) + 3(38 square feet)
20 square feet + 114 square feet
134 square feet
Therefore, the amount of fabric needed to make the tent is 134 square feet.
Triangular faces:
Area = 1/2 * base * height
Area = 1/2 * 5 ft * 4 ft
Area = 10 square feet
Rectangular faces:
Area = length * width
Area = 8 ft * 4.75 ft
Area = 38 square feet
Total surface area:
2 triangular faces + 3 rectangular faces
2(10 square feet) + 3(38 square feet)
20 square feet + 114 square feet
134 square feet
Therefore, the amount of fabric needed to make the tent is 134 square feet.
1 answer