Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = 
= 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = 
= 100%
All you do is 2.5 times the number of feet so 2.5x , x is the number of feet
A personal balance sheet provides an overall snapshot of your wealth at a specific period in time. It is a summary of your assets (what you own), your liabilities (what you owe) and your net worth (assets minus liabilities).
The value of the real life expression is, simple interest = $12.5
<h3>How to simplify this real life expression and show unit analysis?</h3>
The real life expression is given as:
simple interest = ($100) (0.05/year) (2.5 years
Divide 1 year by 1 year
simple interest = ($100) (0.05) (2.5)
Rewrite the equation as a product of factors
simple interest = ($100) * (0.05)* (2.5)
Evaluate the product of 0.05 and 2.5
simple interest = ($100) * 0.125
Evaluate the product of $100 and 0.125
simple interest = $12.5
Hence, the value of the real life expression is, simple interest = $12.5
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