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Chapter 8 Review

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Write the formulas for finding the areas of each or the following: 1.Triangle ____________________ 2.Rectangle ____________________ 3.Parallelogram ____________________ 4.Trapezoid ____________________ 5.Circle ____________________ 6.Write the formula for the Circumference of a Circle __________________ 7.Write Heron’s formula s = _______________ a = __________________

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Write the formulas for the volumes of the following: 8.Rectangular Solid ____________________ 9.Cylinder ____________________ 10.Pyramid ____________________ 11.Cone ____________________ 12.Write a formula for finding the surface area of a cylinder. ____________________ 13. Find the area of the triangle if a = 15.3 cm, b = 12 cm, and h = 4.5 cm a h b

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14.Find the area of a triangle if the sides are 6 in, 10 in, and 12 in __________________ 15. Find the area of the parallelogram below ___________________ 16. Find the area of the trapezoid if a = 250 ft, b = 180 ft, and h = 40 ft ___________________ 17.Find the area of the figure below if a=15, b=40, and c=20 ____________________ 12.3 in 3.5 in a b h a b c

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18.A circular pool has an circumference of 50 feet find the area of the pool. ________________ 19.Find the shaded area of the following (square inscribed in a circle) ________________ 20. Find the Perimeter of the figure a=2 in, b=5 in, c=12 in, d=9 in ________________ 32 cm x x a b c d

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21.Find the volume of the cone if its height is 10ft and the bases diameter is 10 ft. ___________________ 22.Find the volume of a sphere with diameter 16 inches. ________________ 23.Find the volume of a pyramid with a square base 10 feet on a side and a height of 15 feet. 24.Find the volume of the following: The sphere has a diameter of 8 in and it touches the top, bottom and edges of the can. _______________ Find the volume of empty space in the can h d

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25.If sail material cost $20 per square yard, how much would the fabric cost to make a triangular sail with sides 36 ft., 36 ft., and 48 ft. _____________________ 26.The triangles are similar. Find the lengths of the missing sides. a = 110, b = 50, c = 16, and d = 10 _____________________ 27.A yard stick casts a 4.5 foot shadow at the same time a tree casts a 35 foot shadow. How tall is the tree? _____________________ a b x d y c

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28.Find the volume of a rectangular solid 7.9 by 4.5 by 6.3 inches. Round your answer to two decimal places if necessary. _____________________ 29.Find the length of the longest object that will fit inside a rectangular solid that is 6 in. 6 in. by 10 in. _____________________ 30.Find the Perimeter of the following right triangle ______________________ 6 10 6

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31.Find a and b for the right triangle if B = 60 o and c =18 _________________________ 32. Use the given information to find the missing parts to the right triangle given below. A = 50 o and b = 5.5 _______________________ 33. A 20 ft. ladder is leaning against a building at an angle of 55o with respect to the horizontal ground. How high up on the building does the ladder reach? ______________________ B A C c b a VCVC B A C c b a

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34.A ramp is installed on a storage building. If the ramp slope is such that it rises 2 feet for every 8 horizontal feet, find the acute angle the ramp makes with the horizontal. ___________________ 35.Find the missing sides of the following triangle _____________________ 36. Use the trigonometric ratios and a calculator to find the unknown sides and angles. a=6.4 and b= 4.4 __________________ A B C 45 o c=15 b a A B C c b a

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(3.5)(12.3) = 43.05 in 2

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