Each cube in this rectangular prism is 1 cm3.
what is the volume of the rectangular prism?

a.40 cm3

b.20 cm3

c.48 cm3

d.9 cm3

Option B. 20 cm³

Step-by-step explanation:

step 1

Find the length side of the cube

we know that

The volume of a cube is equal to

where

b is the length side of the cube

we have

substitute in the formula

solve for b

step 2

Find the dimensions of the rectangular prism

Multiply the number of cubes in each dimension by the length side of the cube

we have that

step 3

Find the volume of the rectangular prism

The volume of the rectangular prism is equal to

substitute the values

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.