Exam (elaborations) M037: Farms

Here you see a photograph of a farmhouse with a roof in the shape of a pyramid. Below is a student’s mathematical model of the farmhouse roof with measurements added. T A 12 m B G C H F D E N M K L 12 m 12 m ReleasedPISAItems_M Page 4 The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12 m. Question 1: FARMS M037Q01 Calculate the area of the attic floor ABCD. The area of the attic floor ABCD = ______________ m² FARMS SCORING 1 Full credit Code 1: 144 (unit already given) No credit Code 0: Other responses. Code 9: Missing. Question 2: FARMS M037Q02 Calculate the length of EF, one of the horizontal edges of the block. The length of EF = ____________ m FARMS SCORING 2 Full credit Code 1: 6 (unit already given) No credit Code 0: Other responses. Code 9: Missing.