Question

Help I have to turn this in. In a couple hours

Answer 1

28. Surface Area

This is some sort of house-like model so for every face we see there's a congruent one that's hidden.  We'll just double the area we can see.

Area = 2 × ( [14×9 rectangle] + 2[15×9 rectangle]+[triangle base 14, height 6] )

Let's separate the area into the area of the front and the sides; the front will help us for problem 29.

Front =  [14×9 rectangle] + [triangle base 14, height 6]

          = 14×9 + (1/2)(14)(6) = 14(9 + 3) = 14×12 = 168 sq ft

OneSide =  2[15×9 rectangle] = 30×9 = 270 sq ft

Surface Area = 2(168 + 270) = 876 sq ft

Answer: D) 876 sq ft

29.  Volume of an extruded shape is area of the base, here the front, times the height, here 15 feet.  

Volume = 168 * 15 = 2520 cubic ft

Answer: D) 2520 cubic ft