A cube has a surface area of 96 square inches. If 16 cubes are combined to make a rectangular prism, what is the volume of the
rectangular prism?

Step-by-step explanation:

A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.

Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.

Volume of Cube = 64 cube units.

64

Step-by-step explanation:

idk

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages