if a regular octahedron has a surface area of 32 square inches, what is the surface area of each face?
820962
I think you can do this.  Did you know that octahedron means 8-sided figure?  and the fact that it is regular means that all faces are the same size (area).  So the answer would be 32 / 8 = ?
357923
Six times the length of one side squared. The area of a square is the s^2 and a cube has six sides.
205480
Surface area of a sphere is = 4 pi r^2\nThis means that surface area of a sphere is equal to 4 times the biggest circle in the sphere Or 4 times the area of the circle swept by its radius or 4 times the area of the base of its hemisphere.For example if the radius of a sphere is 1 unit then its surface area is = 4 pi square units.When it is divided by 4 it is equal to the area of the base its hemisphere.ie. area of the base of its hemisphere is = pi square units.
779149
you can figure out the hypotenuse using the pythagorean theorem (a^2 + b^2 = c^2), so the hypotenuse is 10.\n\nAfter that, you just add up the areas of all the surfaces - For the triangles, its 6x8 divided by 2 = 24\n\nFor the rectangular faces, you do the following\n4x8 = 32\n4x6 = 24\n10x4 = 40\n\nAdd all these up and you get as surface area of 120.
862584
area of a regular hexagon=3rt3/2 *a^2\n=3rt3/2*24^2\n=72*12rt3\n=864rt3 cm^2
886061
The area of a regular pentagon is approximately 1.72048a², where a is a side. In this case, a = 10:\nA = 1.72048(10²) = 1.72048(100) = 172.048 cm²\n\nThis is an approximation. To see where I got the formula from, visit http://en.wikipedia.org/wiki/Pentagon\n\nHope this helps!
703255
hectic question, this ain't maths homework is it?\n\nA regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a total of 48 symmetries including transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the dual of an octahedron.\n\nThe group of orientation-preserving symmetries is S4, or the group of permutations of four objects, since there is exactly one such symmetry for each permutation of the four pairs of opposite sides of the octehedron.\n\nloads more info. on the link below.
769834
100 and 1000, respectively. Surface area is proportional to the square of the radius, so if a cell's surface ares is 4πr², then the surface are of a cell with 10 times the radius is 4π(10r)² = 100(4πr²). Similar logic applies to volume (which is proportional to the cube of the radius).
774509
Boxes are three dimensional, perimeters are two dimensional.\n\nSo perhaps you mean that the perimeter of a face is .5. \n\nNow, do you mean that all faces are the same size?  That the box is a cube?  Since you don't say one way or the other, that is the only reasonable assumption.   So...\n\nIf perimeter of a face is .5, one side is .125.  Area of a face is .125².   Since the box has six sides, the total surface area is \n6 x .125²  or .09375
880678
Area = length times width\nA = L time W\nReplace L with 32 and W with 22\nA = 32 times 22\nA = 704 square feet
137325
This is a lot to ask here. Why dont you look it up? \n\nAnd a lot of these are easy to figure out. \n\nSphere surface area is A=4 *pi *R^2 where R is the radius\n\nbecause A={int 0 to 2 pi} {int 0 t0 pi} R^2 sin(a)dadb\n\n\nThe cube surface area is A=6*S^2, where S is the length of an edge because there are 6 sides, each of area A^2.\n\nThe cylinder surface area A=2*pi*(R^2)+2*pi*R*H, where R is radius and H is height, because it has two circular end caps of area pi*(R^2) and a side of dimensions 2*pi*R by H, when it is unrolled. \n\nCone surface areas can be found the same way. Just unroll the side, and you get a triangle with height sqrt(H^2+R^2) and base 2*pi*R. The area of a triangle is .5*base*height. Then add in the area of the round bottom. \n\nAnd so on. I am sure you can do this yourself.
467774
The area of the regular hexagon is given by:\n\nA = 2.598 s^2\n\nSo if the sides are 12 inches each;\n\nA = 2.598 (12 in)^2\n\nA = 374 in^2
586130
surface area = 3bh, where b is length of side, and h is the height dropped normally from center to any of the sides\n\nvolume = 6 times volumeof each triamgle, formed by all 3 diagonals
626725
First you need the area of a single face, to do this you need to multiply one side of the face (square) by another adjacent (next to) to the first, this will give you the area if a single face; then you just need to multiply that times six wich is the number of faces in a cube. Depending on the mesuring system that you are using, i.e. metric, standard, etc., you will end up with a number followed by cm.2 or ft.2, that "2" means that you are talking about area and not distance nor volume or any other; it avoids confussion.
47718
So you've got an eight-sided figure and each side is 72-feet.  If you draw horizontal and vertical lines from each vertex (the angles where sides meet) to the other side of the octagon, you'll see that the octagon can be split up into one large square (in the center), four rectangles (up, down, left and right), and four triangles (in the corners).  You following me?  Get out a pencil and get to it!  Okay.  So what are lengths of your square's sides?  You'll note that the square has 72-foot sides, just like the original octagon.  Since you know how to find the area of the square, you're on your way.\n\nNext.  you have four rectangles, each with a length of 72-feet, but the short end - the width, how do we figure out the width of the rectangle?  Okay.  Look at your triangles.  Each triangle has one side of 72 feet - the side which is the outside of the octagon - and then two equal sides - it's an isosceles triangle with a 90-degree angle.\n\nOkay, time to call on pythagoras.  Pythagorean theorem states that a^2 + b^2 = c^2.  What that means is this: If you take the length of sides a and b (the ones we don't know) and square them, and add them together, the answer will be 72-squared (side C).  Too bad I'm not there with you to make this part easier to understand.  We know that a and b are equal in this case because our triangle is isosceles.  Therefore, 2x^2 is equal to 72^2.  This gives us a messy equation wherein our answer is, x is ROUGHLY equal to 51 feet.\n\nSo.  You have a square with sides 72 feet long.  You have 4 rectangles each with length 72 and width 51.  You have 4 triangles each with base 51 feet and height 72 feet.  You know that squares and rectangles have an area equal to length times width, and triangles have an area equal to one-half base times height.\n\nCalculate the area for your 9 figures and add them together.  THAT will be the square footage of your octagon.\n\nWhat... did you think I was going to do it ALL for you?
422177
An octahedron is a regular solid with eight identical faces. Octahedral coordination of a metal occurs when six bonded atoms of coordinating ligands occupy sites that would correspond to the six vertices (corners) of a regular octahedron surrounding the metal atom.
766270
im assumuing you mean a rectangle? If it was a square itd be 400, if its a rectangle its 80l-l^2