Honors Geometry B Unit 6 <span>Lesson 7: Areas and Volumes of Similar Solids </span>1.C 2.C 3.D 4.B 5.A 6.C 7.D 8.A 9.B 10. Workpad Answer: cost of operating AC at smaller warehouse = $ 125.00 per day.
<span>larger warehouse is 2.5 times larger w r t length , width & height of smaller one. </span>
<span>volume of smaller warehouse = l*w*h cubic units </span>
<span>volume of larger one = 2.5*2.5*2.5 * l*w*h </span>
<span>= 15.625 l*b*h </span>
<span>so, larger ware house occupies 15.625 times space as smaller one. </span>
<span>its cost of operation will be 15.625 times more than the smaller one. </span>
Question 5: the circumference is given by: C = 2 * pi * r Where, r: radio of the ball Substituting values we have: 22 = 2 * pi * r Clearing r we have: r = 11 / pi The surface area is given by: A = 4 * pi * r ^ 2 Substituting values we have: A = 4 * 3.14 * (11 / 3.14) ^ 2 A = 154 in ^ 2 Answer: The surface area of the balloon is: A = 154 in ^ 2
Question 8: For this case we have that the scale factor is given by: V1 = (k ^ 3) * V2 Substituting values we have: 729 = (k ^ 3) * 2744 Clearing k: k = (729/2744) ^ (1/3) k = 9/14 Answer: the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is: 9:14
Question 2: The volume of the cylinder is given by: V = pi * r ^ 2 * h Where, r : radio h: height Substituting values: V = pi * (2.8) ^ 2 * (13) V = 101.92 * pi Answer: The volume of the cylinder is: V = 101.92 * pi option 3