To calculate the total paper needed for Riley's group to construct their pyramid, we need to calculate the area of each triangle and add them up.
1. Area of the equilateral triangle base:
Area = (sqrt(3) / 4) * side length^2
Area = (sqrt(3) / 4) * 12^2
Area = (1.732 / 4) * 144
Area = 41.57 square inches
2. Area of the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 12 * 10
Area = 60 square inches (for each isosceles triangle)
Total area for three isosceles triangles = 3 * 60 = 180 square inches
Total paper needed = Area of equilateral triangle base + Area of three isosceles triangles
Total paper needed = 41.57 + 180
Total paper needed = 221.57 square inches
Therefore, Riley's group will need 221.57 square inches of butcher paper to construct their pyramid.
After learning about the Egyptians, Mr. Pink’s class wants to create their own pyramids with triangular bases. Each group needs to create their measurements and identify how much butcher paper they will need to construct their pyramid before they can start. Riley’s group has determined that they want to have an equilateral triangle base of 12 inches and a height of 10.4 inches. The three sides will be isosceles triangles measuring 10 inches by 10 inches by 12 inches with an 8-inch height. How much total paper will Riley’s group need to construct their pyramid? Write your answer in decimal form.(1 point)
5 answers
wrong
I apologize for the mistake in my previous response. Let's try to calculate the total paper needed for Riley's group again.
1. Area of the equilateral triangle base:
Area = (sqrt(3) / 4) * side length^2
Area = (1.732 / 4) * 12^2
Area = 3.464 * 144
Area = 518.016 square inches
2. Area of the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 10 * 8
Area = 40 square inches (for each isosceles triangle)
Total area for three isosceles triangles = 3 * 40 = 120 square inches
Total paper needed = Area of equilateral triangle base + Area of three isosceles triangles
Total paper needed = 518.016 + 120
Total paper needed = 638.016 square inches
So, Riley's group will need 638.016 square inches of butcher paper to construct their pyramid.
1. Area of the equilateral triangle base:
Area = (sqrt(3) / 4) * side length^2
Area = (1.732 / 4) * 12^2
Area = 3.464 * 144
Area = 518.016 square inches
2. Area of the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 10 * 8
Area = 40 square inches (for each isosceles triangle)
Total area for three isosceles triangles = 3 * 40 = 120 square inches
Total paper needed = Area of equilateral triangle base + Area of three isosceles triangles
Total paper needed = 518.016 + 120
Total paper needed = 638.016 square inches
So, Riley's group will need 638.016 square inches of butcher paper to construct their pyramid.
206.4
@AR is CORRECT!!
1 answer