# Surface Area and Volume: Coordination Is Key Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Surface Area and Volume**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 ft

^{2}, what is the surface area of the larger one?20 ft

^{2}40 ft

^{2}80 ft

^{2}100 ft

^{2}160 ft

^{2}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

64π

^{3}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*axesThey 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 units

^{3}21 units

^{3}35 units

^{3}42 units

^{3}105 units

^{3}Q. One baseball has a circumference of 9.4 inches. Another baseball has a volume of 14.1 in

^{3}. 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 units

^{2}96 units

^{2}256 units

^{2}384 units

^{2}512 units

^{2}