Pyramid Project
kirstins worl history class is learning about pyramids around the world. the ancient egyptians made sqaure pyramids, while explorers in antartica found regular triangular pyramids. for her assassignment kirsten needs to make a model of a pyramid. now all she needs to do is decide the dimensions.
Let b = length of square base
e = length of triangular base
s = slant height (height of each triangular face)
to make her model fit, she needs o find the slant height of the pyramid
1a.)for a regular triangular pyramid the total surface area, T is repersents by the equation t = 2es
*Solves for s
*Show the steps
1b.)For a square surface pyramid the total surface area t is represented by the equation T = b2 + 2bs
*Solve for s
*show the steps
2.) Kirsten decides to make a square pyramid. first she tapes the triangular sides together then she tapes the 4 sides to the base. each side of the square base will be 30 cm in length. Kirsten friend Marco decides to make a triangular pyramid. he tapes along the six triangular edges to put his model together. Kristin plant to use the same length triangle edge as Marco. if Kristin and Marco will use the same length of tape how long should they make their triangle edges?
*Write a system of equations to represent the length of tape needed for Kirsten and Marco
*Define any variables
*Show work
3.) Kristin decides to construct another square pyramid. she tapes the four edges connecting the triangles and tapes around the four sides o the base. each side of the square base is 30 cm. write ad solve an equation to determine the length of the triangle edges if Kristin uses 201 cm of tape
*define independent variable
*write equation
*show work
*Determined length of the triangle edges.
