A rectangle prism has a length of 20 in., width of 2., and a height of 3 1/4 Prism is filled with cubes that have edges lengths of 1/4 inch how many cubes are needed in a rectangle prism

The answer to your question is 8320 cubes

Step-by-step explanation:

Data

 Rectangular prism              Cubes

length = 20 in                    side = 1/4

width = 2 in

height = 3 1/4 in

Process

1.- Calculate the volume of the Rectangle prism

Volume = length x width x height

Volume = 20 x 2 x 3.25

             = 130 in³

2.- Calculate the volume of the Cube

Volume = side x side x side

Volume = 0.25  x 0.25 x 0.25

             = 0.0156 in³

3.- Divide the volume of the rectangular prism by the volume of the cube

Number of cubes = 130 / 0.0156

                             = 8320 cubes

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

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