Plz do not delete my questions. I will give you 30 points for these three questions. A thanks. And a 5 star rate. But in order for this to happen you have to make sure to SHOW YOUR WORK and MAKE SURE IT IS RIGHT. Then I will give you all of that. 1. Vikram is studying the square pyramid below. The first and second pictures are for this question.To find the surface area of the pyramid, in square inches, Vikram wrote SECOND PICTURE HERE. What error did Vikram make?He used the same expression for the area of all four lateral faces.He used the wrong expression to represent the area of the base of the pyramid.He used the wrong value as the height when he found the area of the lateral faces.He used an expression for surface area that only finds the total area of three faces.2. Tracy used the expression THIRD PICTURE GOES HERE to find the surface area, in square centimeters, of the rectangular pyramid below.This is for the fourth picture.Which statement best describes her work?Tracy’s answer will be incorrect because she forgot the factor 1/2 in the expression representing the area of the triangular faces.Tracy’s answer will be incorrect because the pyramid has five faces and her expression finds the sum of only three products.Tracy’s answer will be correct because she made use of the fact that 2 (1/2) = 1 in her expression.Tracy’s answer will be correct because a rectangular pyramid has only three faces and the expression finds the sum of three products.3. What is the total surface area of this rectangular pyramid?This is for the last picture______ square meters
Accepted Solution
A:
(1) The surface area of the square pyramid = 4 * (area of one face) + area of the base area of one face = 0.5 * 34.2 * 28.4 area of the base = 34.2 * 34.2 ∴ The surface area of the pyramid = 4 * (0.5 * 34.2 * 28.4) + 34.2 * 34.2
By comparing the last answer with the answer of Vikram, we find that: He used the wrong expression to represent the area of the base of the pyramid. =========================================================
(2) The surface area of the rectangular pyramid = area of two face with the height 36.5 + area of two face with the height 37.8 + area of the base
area of two face with the height 36.5 = 2 * 0.5 * 36.5 * 25.6 area of two face with the height 37.8 = 2 * 0.5 * 37.8 * 16.2 are of the base = 25.6 * 16.2
By comparing the last answer with the answer of Tracy , we find that: Tracy’s answer will be correct because she made use of the fact that 2 (1/2) = 1 in her expression. =========================================================
(3) the total surface area of this rectangular pyramid = = area of two face with the height 52 + area of two face with the height 60 + area of the base
area of two face with the height 52 = 2 * 0.5 * 52 * 78 = 4,056 m² area of two face with the height 60 = 2 * 0.5 * 60 * 50 = 3,000 m² are of the base = 78 * 50 = 3900 m²