Answer:
72 cubes
Step-by-step explanation:
Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.
Given: Length of prism= 6
Width= 3
Height= 4
To know the number of cubes, which can fill the entire prism, we need to find volume of prism.
∴ Volume of prism= 
Volume of prism= 
∴ 72 units of cube can fill the entire prism.
Problem 1
<h3>Answer:
104 cubic inches</h3>
----------------------
Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
========================================================
Problem 2
<h3>Answer: 650 square inches</h3>
----------------------
Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Step-by-step explanation:
A matrix of order 3×1 means it has 3 rows and one column.

Answer:
8 and 2.529
Step-by-step explanation:
The computation of the mean and the standard deviation is shown below:
Given that
Total number of questions is n = 40
The Probability of correct answer is p = 
So, the probability of the wrong answer is q =
= 
Moreover, this is the binomial distribution
Based on the above information
The mean is


= 8
Now the variance is

= 
So, the standard deviation is

= 2.529
hence, the mean and the standard deviation is 8 and 2.529 respectively
Answer:
Step-by-step explanation:
[4m(2.5m)(100^2cm^2/m^2)]/10^2cm^2=1000 tiles