In this interactive, you are given the dimensions of a rectangular prism and the smaller cubes being used to fill the prism. Fill in the blanks by determining the number of cubes, smaller cubes, and volume of the cubes and prism. Only input numbers, and use “/” for a fraction, such as 1/5.

A right rectangular prism has the dimensions 3
1
4
units, 2 units, and 4
1
2
units. It is going to be packed with cubes with dimensions of
1
4
units on all sides.

The number of cubes required to fill the prism is

The volume of the prism is

unit cubes plus

smaller cubes with a volume of

cubic units.

Using the volume formula, the volume of the prism is

unit cubes and

of a unit

Find the perimeter of the figure shown above. a. 18 yds c. 20 yds b. 10 yds d. 24 yds select the best answer from the choices provided

Whats are the trickiest steps to do when adding or subtracting rational expressions? how does knowledge of rational numbers u in adding and subtracting rational expressions?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?