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%
Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:

So, we have:

Divide both sides by 2

Make L the subject

The area is calculated as:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0; to get the maximum value of W

Collect like terms

Divide by -2

So, the maximum area is:




1/2 I guess I don't think you typed in the question correctly. Not trying to be mean.
Answer:
You are correct my good sir! 7^5/7^2 expanded is (7x7x7x7x7)/(7x7)! another awesome thing to know for future reference is when dividing exponents with the same base you can simply subtract the exponents from each other! for example, 7^5/7^2=7^3! :D Hope This Helps!
Step-by-step explanation: