Think you’ve got your head wrapped around Surface Area and Volume? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Solids of which type are always similar to one another?
Rectangular prisms
Cylinders
Cones
Spheres
Square pyramids
Q. One sphere has a radius of 3 and another has a volume of 36π. Which of the following is true?
The spheres are congruent
The spheres are similar with a scale factor of 2
The spheres are similar with a scale factor of ⅓
The spheres are similar with a scale factor of 12
The spheres are neither similar nor congruent
Q. 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?
20 ft2
40 ft2
80 ft2
100 ft2
160 ft2
Q. 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?
4π
12π
36π
108π
64π3
Q. Which of the following is NOT true about ordered triples?
They define the location of a point in 3D space
They consist of three numbers representing the w, x, and y axes
They exist in the 3D coordinate system
An example of one is (0, 0, 0)
All of the above are true
Q. 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
12.2
12.8
13.2
13.6
Q. A rectangular prism has vertices at (0, 0, 0) and (3, 2, 5). All of the following are vertices of this prism EXCEPT
(0, 2, 5)
(3, 0, 0)
(3, 2, 0)
(0, 0, 5)
(2, 0, 5)
Q. 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.
17.5 units3
21 units3
35 units3
42 units3
105 units3
Q. 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).
The two baseballs are similar and have a scale factor of 0.25.
The two baseballs are similar and have a scale factor of 2.
The two baseballs are similar and have a scale factor of 10.
The two baseballs are neither similar nor congruent.
Q. 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
96 units2
256 units2
384 units2
512 units2