Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:

In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:

The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So

The new volume is 375 cubic inches.
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
Answer:
7.5 days.
Step-by-step explanation:
Let t represent time taken by Nick in days to paint the house alone.
Part of house painted by Nick in 1 day would be
.
We have been given that Brad paints a house in 5 days, so part of house painted by Brad in 1 day would be
.
We are also told that when Brad's brother Nick joins him, they can paint a house in 3 days. So part of house painted by both Brad and Nick together in 1 day would be
.
Now, we will equate sum of work done by both brothers with
to solve for t as:








Therefore, it will take 7.5 days for the Nick to paint the house alone.
Applying the centroid theorem, the length of TY is calculated as: 18 units.
<h3>What is the
Centroid Theorem?</h3>
According to the centroid theorem, given a triangle like TUV with Y as the centroid, the theorem states that:
TY = 2/3(TW)
YW = 9 units
TW = TY + 9
Plug the values into the equation
TY = 2/3(TY + 9)
3(TY) = 2(TY + 9)
3(TY) = 2(TY) + 18
3(TY) - 2(TY) = 18
TY = 18
Learn more about the centroid theorem on:
brainly.com/question/20627009
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