Respuesta :
Volume of the cake= volume of right pyramid + volume of cube below the pyramid = 1/3 (b)(h) + b^3 where b = 19.5 and h = 13 plug these value into the formula, you get 7502.875, the volume is less than 10, 000. remember that the batter can supply 10, 000 in^3 of cake and the cake that you are making is only 7499 in ^ 3 so she has enough. now let's move on with the frosting. Surface area. we need the formula of a triangle and a square. formula of triangle is bh/2 and square area is b^2. let's do the pyramid first. how many triangles are there for the pyramid? 4 so we have to multiply the number of triangles to the area of one triangle to get the s.a. for each. Area = 4 x 1/2 bh base = 19.5 height= 13 plug your given values in the formula and you'll get? 507 now let's move on with the surface area of the cube. how many squares(sides) are there in a cube? 5 since she does not frost the cake at the bottom, we will only find the area of 5 squares. area of a square is b^2 So 5 x b^2 b=19.5 what will you get? 1901.25 now add the area of the triangles to the area of the squares, 2408.25 is it less than or greater than 3000 in^2 ? less the frosting that she has can cover 3000 in^2 of a cake. you have 2408.2 in^2 cake, so does that frosting enough or nah? remember 2408 is LESS than 3000, so it means she has more so the frosting is enough to cover your cake :) therefore, both the frosting and the batter are enough to make your house cake !
