roup need to construct their pyramid?
To find the total amount of paper needed, we need to calculate the surface area of all the triangular faces of the pyramid.
For the equilateral triangle base:
Area = 1/2 * base * height
Area = 1/2 * 12 inches * 10.4 inches
Area = 62.4 square inches
For the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 10 inches * 8 inches
Area = 40 square inches for each triangle
Total area for the three isosceles triangles = 40 inches * 3 = 120 square inches
Total paper needed = 62.4 inches (for the equilateral triangle) + 120 inches (for the three isosceles triangles)
Total paper needed = 182.4 square inches
Therefore, Riley’s group will need a total of 182.4 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 g
3 answers
wrong
My apologies for the mistake. Let's recalculate the total paper needed for Riley's group to construct their pyramid.
For the equilateral triangle base:
Area = √3/4 * side^2
Area = √3/4 * 12 inches * 12 inches
Area = √3/4 * 144 square inches
Area ≈ 62.35 square inches
For the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 10 inches * 8 inches
Area = 40 square inches for each triangle
Total area for the three isosceles triangles = 40 inches * 3 = 120 square inches
Total paper needed = 62.35 inches (for the equilateral triangle) + 120 inches (for the three isosceles triangles)
Total paper needed = 182.35 square inches
Therefore, Riley’s group will need a total of approximately 182.35 square inches of butcher paper to construct their pyramid. Thank you for your patience.
For the equilateral triangle base:
Area = √3/4 * side^2
Area = √3/4 * 12 inches * 12 inches
Area = √3/4 * 144 square inches
Area ≈ 62.35 square inches
For the three isosceles triangles:
Area = 1/2 * base * height
Area = 1/2 * 10 inches * 8 inches
Area = 40 square inches for each triangle
Total area for the three isosceles triangles = 40 inches * 3 = 120 square inches
Total paper needed = 62.35 inches (for the equilateral triangle) + 120 inches (for the three isosceles triangles)
Total paper needed = 182.35 square inches
Therefore, Riley’s group will need a total of approximately 182.35 square inches of butcher paper to construct their pyramid. Thank you for your patience.
5 answers