MATH Business Math II - Unit 26: Linear, Square, and Cubic Measurements (G.SRT.8, G.C.6)
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For all answers in this unit that do not come out even, round to the nearest tenth, unless directed otherwise. For all problems that have formulas that include “pi”, use 3.14 for pi.

1) John was driving for 7 hours at an approximate speed of 58 miles per hour. How far did he drive?

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2) Fred was driving for 4.5 hours, and traveled 279 miles. What was the average speed?

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3) Kenny went on vacation to Florida and traveled 1430 miles. If he averaged 65 miles per hour, how long did it take him to get to his destination?

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4) What is the perimeter of a rectangle that measures 34 centimeters in length and 22 centimeters in width?

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5) Find the perimeter of a parallelogram that measures 5 feet by 8 feet.

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6) If a regular hexagon has a perimeter of 150 centimeters, what is the measure of each side?

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7) What is the perimeter of a regular octagon if each side measures 14 centimeters?

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8) What is the circumference of a bicycle tire if it has a diameter of 25 inches?

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9) The circumference of a clock is 314 centimeters. What is its radius?

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10) What is the height of a triangle that has a 15-inch base and an area of 172.5 square inches?

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11)

How much would it cost to carpet a 14-foot square room if the price of the carpet is $17.95 per square YARD and the store only sells the carpet as whole square yards (not partial yards)? (Hint:  Convert the square feet to square yards, and then round up to the nearest whole yard before calculating the cost).


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12) A square has a perimeter of 36 inches. What is the length of one side?

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13) What is the height of a triangle if the area is 70 square inches and the base is 15 inches?

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14) A Ferris wheel with the local circus has a radius of 76 feet. Approximately how far would you travel in one turn of the wheel?

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15) A regular decagon (10-sided polygon) has a perimeter of 48 cm. What does each side measure?

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If student responses require non-keyboard symbols, the answers should be expressed in written form.

16) Find the surface area of a rectangular prism that measures 9 inches wide, 5 inches deep, and 7 inches high.

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17) Find the surface area of a square prism that measures 6 centimeters by 6 centimeters by 10 centimeters.

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18) What is the surface area of a regular prism that has a length of 12 centimeters, a width of 6 centimeters, and a height of 18 centimeters?

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19) If the surface area of a cube is 2700 square centimeters, what is its height?

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20) What is the surface area of a square pyramid that has a slant height of 6 inches and a base length of 7.5 inches?

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21) What is the volume of a rectangular prism that measures 12 meters by 6 meters by 4 meters?

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22) If a rectangular prism has a length of 20 feet, a width of 16 feet, and a volume of 1440 cubic feet, what is its height?

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23) What is the volume of a rectangular pyramid that has a length of 18 meters, a width of 17 meters, and a height of 20 meters?

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24) Find the volume of a right circular cylinder that has a radius of 4 inches and a height of 19 inches.

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25) Find the volume of a right circular cylinder that has a radius of 5 inches and a height of 19 inches.

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26) If the surface area of a cube is 150 square centimeters, what is the length of a side?

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27) Solve.

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28) What is the volume of a sphere with a diameter of 6 feet?

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29) A circle is inscribed in a square. The square has an area of 64 square inches. What is the area outside of the circle to the nearest tenth?

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30) What is the volume of a square pyramid with a base area of 81 square inches and a height of 15 inches?

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31) The volume of a sphere is 904.78 cubic feet. What is the diameter to the nearest whole number?

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32) What is the volume of a right circular cone with a radius of 6 centimeters and a height of 14 centimeters?

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33) What is volume of a right circular cylinder with a radius of 3 inches and a height of 20 inches?

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34) What is the surface area of a sphere with a radius of 5 feet?

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35) What is the surface area of a right circular cylinder with a radius of 12 centimeters and a height of 16 centimeters?

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