Cubism Geometry
At the top are photographs of my submitted work regarding these requirements. Each image is of a page in my project portfolio in which I included close-up photographs of different sections of my painting, with added measurements and labels. The left photo is of the page that shows the kite, square, rectangle, parallelogram, rhombus, circle with radius 4.02 cm, and trapezoid. Since a square is also a rectangle, parallelogram, and rhombus, I used one shape to fulfill the requirements for four. The circle with radius = 4.02 also fulfills two requirements: one for the circle, and one for the radius.
The center photo is of the page that shows a cylinder with a surface area of 62.991 (approximately 63), a triangular prism with a volume of 33.908 (approximately 34), and a shape with an area of 42.003 (approximately 42). Clearly, I couldn't make 3D cylinders and prisms in a 2D painting, but since it was cubist art, I just drew some of the sides of the prism laid out flat, and the base and side view of the cylinder laid out flat, and called them 3D shapes.
Finally, the right photo is of the page that shows six adjacent shapes with a combined area of 103; two parallel lines cut by a transversal with labeled angles; a rectangle partially covered by a triangle with an uncovered area of 8.437; and a compound shape of a rectangle with an adjoined semicircle, partially covered by a circle, with an uncovered area of 11.102. For the six adjacent shapes, I just drew a rectangle that I knew would have an area of 103 and split that rectangle into six parts.
The center photo is of the page that shows a cylinder with a surface area of 62.991 (approximately 63), a triangular prism with a volume of 33.908 (approximately 34), and a shape with an area of 42.003 (approximately 42). Clearly, I couldn't make 3D cylinders and prisms in a 2D painting, but since it was cubist art, I just drew some of the sides of the prism laid out flat, and the base and side view of the cylinder laid out flat, and called them 3D shapes.
Finally, the right photo is of the page that shows six adjacent shapes with a combined area of 103; two parallel lines cut by a transversal with labeled angles; a rectangle partially covered by a triangle with an uncovered area of 8.437; and a compound shape of a rectangle with an adjoined semicircle, partially covered by a circle, with an uncovered area of 11.102. For the six adjacent shapes, I just drew a rectangle that I knew would have an area of 103 and split that rectangle into six parts.