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3. 9. 1) Which statement best describes how the volume of a cube changes when the edge length is tripled (increased by a scale factor of 3) to form a new cube? (Example shown below). The volume of the new cube is the volume of the original cube
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3 9 1) Which statement best describes how the volume of a cube changes when the edge length is tripled (increased by a scale factor of 3) to form a new cube? (Example shown below) • The volume of the new cube is the volume of the original cube • The volume of the new cube is the volume of the original cube • The volume of the new cube is 27 times the volume of the original cube • The volume of the new cube is 3 times the volume of the original cube VOLUME / SA FINAL REVIEW
2) A spherical ball has a diameter of 30 cm. What is the volume of the ball? • 300 cm3 • 4500 cm3 • 36000 cm3 • 1200 cm3 VOLUME / SA FINAL REVIEW
3) Which is closest to the volume of the world’s largest candy corn in cubic feet: • 680.7 ft3 • 274.9 ft3 • 170.2 ft3 • 70 ft3 VOLUME / SA FINAL REVIEW
4) The following cylindrical pipe has a height of 10in and a volume of 200in3. Find the area of the base (B) of this pipe. h = 10in • 40 in2 • 10 in2 • 190 in2 • 20 in2 VOLUME / SA FINAL REVIEW
5) The following cylindrical pipe has a volume of 130 cubic feet and a diameter of 6 feet. Which is closest to the height of the pipe? d = 6 ft h = ? • 3 ft • 1.1 ft • 4.6 ft • 21.7 ft VOLUME / SA FINAL REVIEW
6) Find the volume of the following triangular prism: • 216 cm3 • 108 cm3 • 90 cm3 • 135 cm3 VOLUME / SA FINAL REVIEW
5 in 2in 7) The net of a cylinder is shown below. Find the total surface area of the cylinder. 2in 2in 2in A.10 in2 B. 94.2 in2 C. 219.9 in2 D. 157 in2 VOLUME / SA FINAL REVIEW
8) A company has designed a version of a doll that fits in a rectangular box. The figure below shows the dimensions of the box. In order to determine the amount of packaging needed for each doll, the company needs to find the surface area of the box. What is the total surface area of the box? A.1080 in2 B. 696 in2 C. 348 in2 D. 288 in2 VOLUME / SA FINAL REVIEW
9) The lateral surface area of a cylinder be described as the following using a soup can as an example: • The top and bottom of the can • The entire surface of the can, label, and top and bottom • The label of the can only • The volume inside of the can VOLUME / SA FINAL REVIEW
r = 7 in 24.3 in 10) Find the lateral surface area of the cylinder: • 1068.8 in2 • 3740.7 in2 • 24.3 in2 • 153.9 in2 VOLUME / SA FINAL REVIEW
11) The radius of a spherical basketball is 10cm. If another spherical basketball has a radius 5 cm longer, how much greater is its surface area? • 523 cm2 • 1570 cm2 • 4084 cm2 • 5 cm2 VOLUME / SA FINAL REVIEW