0
A box is to have a square base an open top and volume of 2ft Find the dimensions of the box to the nearest inch that uses the least amount of material?
Wiki User
∙ 16y ago
Let the length of the square be x and the height of the box be h. The volume of the box is the x2h=2ft2 The surface area (remember the top is open) is x2+4xh Using the first equation, make h the subject of the formula. h=2/(x2) and substitute this into the surface area formula. We then have SA=x2+8/x We have a minimum materials used when the derivative of this equation is equal to 0 SA'(derivative)=2x-8/(x2)=0 2x=8/(x2) 2x3=8 x3=4 x=1.59 ft h=2/x2=0.79 So the dimensions are 1.59 x 1.59 x 0.79 (2 dec pl.)
Wiki User
∙ 16y ago
Add your answer:
Earn +20 pts
What is the square root of 753?
The square root of 753 is 27.441. If you put that in your caculator you will get 27.44084547..... That making it irrational because the numbers would go on. If you would to round the square root of 753 to the nearest hundredth you would get 27.441
How do you find the square root of an irrational numbers?
You can find the square root of an irrational number by approximating irrational square roots of them, after you use the calculator. (The calculator gives an approximate root also) For example,1. Approximate the square root of 4.3 to the nearest hundredth.Use the calculator, which shows 2. 0736444135.Since 3 < 5 round down to 2.07 and drop the digits to the right of 7.2. Approximate the negative square root of 10.8 to the nearest hundredth.Use the calculator, which shows -3.286335345Since 6 > 5 round up to -3.29 and drop the digits to the right of 8.
Is a round baler or a square baler more expesive for the same amount of hay?
A round bail of hay is cheaper. The cost of a single bail of hay times the amount in a regular round bail is alot more in price. A round baler is more expensive.
Square root of 2 Times Square root of 2?
The square root of two times the square root of two equals two
How can you solve the equation x2 plus 3i equals 0?
x2+3i=0 so x2=-3i x=square root of (-3i)=square root (-3)square root (i) =i(square root(3)([1/(square root (2)](1+i) and i(square root(3)([-1/(square root (2)](1+i) You can multiply through by i if you want, but I left it since it shows you where the answer came from. Note: The square root of i is 1/square root 2(1+i) and -1/square root of 2 (1+i) to see this, try and square them!
Is maddison square gardens square?
the atea of a square garden is 324 square yards.find the amount of material needed to fence the garden
What is dimensions of a square?
The dimensions are: The dimensions of the square are LW Length x width (srry about the last one)
What is 1.5 square foot is in dimensions?
The dimensions of square feet is Length2 or L2
Why is it called cubed and squared?
That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.
How many dimensions in a square?
There are 2 dimensions in a square, length and width, which are always the same, due to the nature of a square.
How do you solve the problem Nu is disigning a rectangular sandbox The bottom is 16 square feet which dimensions requie the least amount of material for the sides of the sandbox?
Ok, an important part of this is that shapes can be categorized into multiple groups. It goes something like this in this case: Quadrilateral V Rectangle V Square When dealing with shapes, regular polygons always have less perimeter than irregular for the same area. Here, a square would have a perimeter of 16, with 4x4 dimensions; the next closest rectangle would have a perimeter of 20, with dimensions of 8x2; the last rectangle you could make would have a perimeter of 34, with dimensions of 16x1.
What is the dimensions of a square whose diagional is 25 inches?
The diagonal of a square is usually found using Pythagoras's theorem, a2 + b2 = c2. Since this is a square, a = b; thus: c2 = 2s2, where s is the side length and c is the diagonal. s = square root(c2/2) = square root(625/2) = square root(312.5) = 17.8in The dimensions of a square whose diagonal is 25inches is 17.8in x 17.8in (rounded to the nearest tenth)
Find the measure to the nearest tenth of the diagonal of a rectangle with dimensions 16 cm by 9 cm?
Use the Law of Pythagoras - in this case, the answer is the square root of (162 + 92).
What are the dimensions of Times Square?
how big is time square
The area of a square is 25 cm square What are its linear dimensions?
Being a square, all the linear dimensions are identical, the square root of 25.
What are the dimensions of 800 sq feet?
The dimensions are square feet or [Length2]
What is 851.568 to the nearest square foot?
851.568 square feet to the nearest square foot is 852.
