To calculate the total amount of paper needed, we need to calculate the surface area of each triangle and then the total surface area of all the triangles in the pyramid.
For the equilateral triangular base:
Area = (sqrt(3) / 4) * (12^2) = 62.35 in^2
For the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 10 * 8 = 40 in^2
Total area for all three isosceles triangles = 3 * 40 = 120 in^2
Total paper needed = base area + total area of isosceles triangles
Total paper needed = 62.35 + 120 = 182.35 in^2
Therefore, Riley's group will need approximately 182.35 square inches of butcher paper to construct their pyramid.
After learning about the Egyptian’s Mr. pinks class wanted to create their own pyramids with triangular basis, each group needs to create their measurements and identify how much butcher paper they will need to construct their pyramid before they start. Riley’s group has determined that they want to have an equilateral triangular base of 12 inches and a height of 10.4 inches the three sides will be isosceles triangles measuring 10” x 10” x 12” with an 8 inch height. How much total paper will Riley’s group need to construct their pyramid right answer in decimal form.
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