Answer:
Part A <u>Question #1) </u>Model B <u>Question #2 </u>A) Model A
Part B <u>Question #1</u> B) Model B uses the smallest liner <u>Question #2</u> C) Model C uses the largest liner
Part C <u>Question #1</u> C, <u>Question #2</u> 576.2 ft², A. <u>Question #3</u> Correct
Part D <u>Question #1 </u>72.8 yd² <u>Question #2 </u>109.38 yd²<u>Question #3</u> A. Triangular Prism
Step-by-step explanation:
Part A
<u>Question #1</u>
The pool as a matter of fact is a parallelepiped, a rectangular prism. And a Rectangular Prism has its Volume
Model A: 18ft x 9 3/4 and 4 1/2 The Volume is given by this formula:
Volume=w*l*d
Model B needs the smallest amount of water. So Model B
<u>Question #2</u>
Model A needs the largest amount of water to be filled. 833.62 ft³
Part B
The pool liner area is equivalent to a rectangular area. The surface of Pool
<u>Question #1</u>
Model B uses the smallest liner
<u>Question #2</u>
Model C uses the largest liner
Part C
<u>Question #1</u>
C A square pyramid is made up of Four congruent triangular faces, since the base is a square.
<u>Question #2</u>
This question asks us how many square feet, of a red tin roof. In other words, what's the area of this red pyramid? So
Since the base of this pyramid is not going to be taken into account. Let's calculate it:
4 * Area of the Triangle, each of its base edge is also the base edge of its triangular face. Base=21.5 ft Height=13.4 ft. There are four triangular faces.
Area of the Triangle = 1/2*b*h
4* (21.5*13.4)/2= 576.2 ft²
Part D
<u>Question #1</u>
This huge prism has 2 equilateral triangles and 3 rectangles. The question asks us the area of the roof: 2 rectangles:
2 (6.5*5.6)=72.8 yd²
<u>Question #2 </u>
What is the outside surface area of this house? The outside surface is given by the sum of the areas of 2 equilateral triangles+ roof
Area of an Equilateral Angle:
So
36.58+72.8 (previous question) =109.38 yd²
<u>Question #3 </u>
This A-frame house is in the shape of a: A. Triangular Prism