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Surface Area and Volume

Surface Area and Volume

Surface Area and Volume: Coordination Is Key True or False

1. Solids of which type are always similar to one another? -> Rectangular prisms
2. One sphere has a radius of 3 and another has a volume of 36π. Which of the following is true? -> The spheres are congruent
3. Two similar solids have a scale factor of 4. If the smaller one has a surface area of 10 ft2, what is the surface area of the larger one? -> 80 ft2
4. A cylinder has a radius of 1 and a height of 4. If another cylinder is 3 times larger, what is the volume of the larger cylinder? -> 108π
5. Which of the following is NOT true about ordered triples? -> They consist of three numbers representing the w, x, and y axes
6. If your car can get you from A to B, find the distance between A (-4, 9, 5) and B (3, 1, -1). Make sure to fill up the tank first though. -> 10.8
7. A rectangular prism has vertices at (0, 0, 0) and (3, 2, 5). All of the following are vertices of this prism EXCEPT -> (3, 0, 0)
8. Find the volume of a triangular prism with vertices at A (0, 0, 0), B (5, 0, 0), C (3, 2, 0), D (0, 0, 7), E (5, 0, 7), and F (3, 2, 7). A drawing would probably be helpful. -> 35 units3
9. One baseball has a circumference of 9.4 inches. Another baseball has a volume of 14.1 in3. Which of the following is true about the spheres? -> The two baseballs are congruent (the same size and shape).
10. A cube has vertices at (0, 0, 0) and (4, 4, 4). If those vertices aren't on the same face and the entire cube gets dilated (expanded) by a scale factor of 2, what will its surface area be? -> 64 units2