Answer:
C
Step-by-step explanation:
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
Answer:
Age of Mark 
years
Age of Mark's dad 
years
Age of Mark's sister 
years
Step-by-step explanation:
Let age of Mark be 
years.
Mark's dad is three times older than Mark
Age of her Mark's dad 
Mark's sister is 2 years younger than Mark
Age of Mark's sister 
years
The sum of their ages is 48.
Age of Mark 
years
Age of Mark's dad 
years
Age of Mark's sister 
years
The correct answer is 2083/8
