Square Inches vs Inches Squared - Mathematics Stack Exchange
An inch squared is a 1” x 1” square, not a linear one dimensional inch. That’s why 12 inches squared is 12 square inches, whether 6x2, 3x4, or 12x1. Taken literally, 12 inches squared would simply be a linear 144” and in no way refer to area. Then …
calculus - How do I figure out a per square inch price?
Jul 2, 2015 · Modified 9 years, 3 months ago. Viewed 123 times. 1. How do I figure out a per square inch price? For example: If a print is 24x24 inches, and the price is $800.00, what is the price per square inch? Thank you!
algebra precalculus - Minimizing cost materials for a cylindrical …
Using a calculator, find the minimum cost of materials to create a cylindrical can that must hold 100 cubic inches. The top/bottom of the can can cost(in dollars) 0.14 per square inch, while the sides can cost only 0.07 per square inch. I'm slightly lost on how to approach the problem. I'm thinking... area: 100=pi(r^2)h
Rectangular Box Optimization Problem - Mathematics Stack …
Let the width of the base be x x and the height of the box be y y. The base is a square so its area is x2 x 2. Then the volume of the box is "base area times height", so the volume is V =x2y = 40ft3 V = x 2 y = 40 f t 3. The area of the base is x2 x 2, so the cost of the base is 0.31x2 0.31 x 2. The area of each side is xy x y, so the cost of ...
geometry - Square with equilateral triangle drawn it it, find area of ...
Oct 18, 2017 · ABCD is a square and CMN is an equilateral triangle, with M on AD and N on AB. If the area of ABCD is one square inch, compute the area of CMN in square inches.
$2$-inch squares are cut from the corners of a $10$-inch square.
Oct 8, 2019 · But if a tilted inscribed square goes through the vertices of the small squares then the square can have highest 60 inches of area (the area of the square LJSF in the below figure is 36 inches. With extra area of 4 triangles like $ \triangle ULJ $ which have base of 6 inches and height of 2 inches.)
Area of a square inscribed in a square - Mathematics Stack Exchange
Jun 16, 2022 · 6. There's nothing wrong, but you haven't finished yet. Just note h = 10 − x h = 10 − x, so the area of the inscribed square in terms of x x is. f(x) = 100 − 2x(10 − x) = 100 − 20x + 2x2. f (x) = 100 − 2 x (10 − x) = 100 − 20 x + 2 x 2. This aside, you can compute f(x) f (x) even easier just using the Pythagorean Theorem:
Pigeonhole Principle Question: Given any 5 points inside a square …
Here we apply the pigeonhole principle. Since we have more points than squares to place them, we know that some square must end up containing at least 2 points. So now we know that given any 5 points inside a square of side length 2, we can find two of them that lie in some square of side length 1. What is the maximum distance apart that these ...
How do I cut a square in half? - Mathematics Stack Exchange
Length of diagonal = √2a √ 2 a. Length AM = length BM = (1/2)√2a (1 / 2) √ 2 a. As mentioned before the diagonals bisect each other, and intersect perpendicularly. These are 2 sides of the new square with half the area of the original square. Area of reduced square : Length AM × length BM = (1/2)a2 (1 / 2) a 2.
Optimization problem -building a rectangular aquarium
We need to build a rectangular aquarium with a volume of 12 cubic feet. The material for the bottom costs 6 dollars per sq foot, and the sides cost 2 dollars per square foot; it has no top. find the dimensions of the least expensive aquarium we can build. How do they get to $8=l^3$ from $6l-\frac {48} {8/l^2}$=0 ? calculus. optimization.