How can you find the surface area of a cube without measuring each face?Explain.?
446946
To find the surface area of a cube without measuring a face, you would:\n1) Multiply: length*width\n2) Multiply: length*height\n3) Multiply: width*height\n4) Then you add those three answers up \n5) After you add them, multiply by 2 because a cube has 2 of each face.\n\nHope this helps!!
174683
The simple way to find the area of any shape is to break it up in to trangles and squares.  \n\n\nOr use integration... but i do not think that is what you are looking for
529872
Easy H*D*W    H=Height D=Depth W=Width *= times\n\nUse the units cubed, if it is meters use m^3 as the unit of measurement
911301
If x = the length of a side of the square base and y = the height, then volume = lengthxwidthxheight \n\n32000 = x^2y\n\ny = 32000/x^2\n\nThere are 5 surfaces, 4 of which are rectangles with area xy and one square with area x^2\n\nSo surface area = 4xy + x^2\n\nBut y = 32000/x^2 so substitute to get\n\nSA = 4x(32000/x^2) + x^2\n\nThat is 128000/x + x^2, or, 128000x^-1 + x^2\n\nFind the derivative and set it = to zero.\nSA' = -128000x^-2 + 2x = 0\n\n2x = 128000/x^2\n\n2x^3 = 128000\n\nx^3 = 64000\n\nFind the cube root of 64000; that's x\n\nPlug in to get y
730124
1. volume = h*2*pi*r^2 =1000 so r^2= 1000/2/pi/h\n\nsurface area = 2*pi*(h+2*r^2)\nsurface area / volume = (h+2*r^2)/h/r^2 \n=1/r^2+2/h  = 2*pi*h/1000+2/h  which is a minimum when h is about 17.84  [(1000/pi)^0.5]
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.
359961
Find the areas of all 6 faces of the rectangular solid by muliplying each one's width by length.  Then add them together for the total surface area.  To find volume, multiply length by width by height.  The ratio will be the total surface area divided by the volume (or expressed as a fraction the total surface area over the volume).
208438
There is a delightful article by the late Dr. John Kenny on that, back a few years ago, looking at the formulae for surface area and volumes of spheres; I'll see if I can find it for you--it's in my files SOMEWHERE--and give you the reference, and the formulae he generated. It turns out that they're not precisely the same as what you've got--but not terribly far from it.\n\nAs I said, I'll see if I can find it, and I'll get you the reference and the formulae.\n\nAbout 9pm CST...\n\nOK, here is the formulae, done the best I can on this thing...\n\n\nFor a sphere of dimension 2*k, radius R\n\nVolume: (pi^k)*(R^(2*k))/k!\n\nFor a sphere of dimension 2*k + 1 and radius R\n\nVolume:\n(2^(2*k+1))*k!*(pi^k)* (R^(2*k+1))/(2*k+1)!\n\n\nTo get the surface areas for each of these, all you do is differentiate with respect to R...\n\nAs I said, it was a little more complex than you thought--the surface areas come out a little bit differently for odd and even numbered dimensions.  I do not recall why, frankly.
196800
Surface area. Seriously. 8D
323670
measure each diagonal, come up with the area of one triangle X it by 4, then work out the area of the base simple!
543695
volume = (1/3) b h = 1/3 pi r 2 h \nSurface area = pr2 + prs\ns= the height of the outside of the cone, while h = the height of the cone at its center
77442
It implies that the box is 10 square so each dimension is 10.  Volume of a cube = h x d x w , or in this case 10 x 10 x 10 = 1000
689701
a4 paper measures 210cm by 297cm\n\nif you cut a 210cm x 210cm square, you can form a cube with each side measuring 74.246cm\n\ncutout shown via the link\n\n-------------------------\n\nor if you talk about it in terms of surface area:\n\na4 paper (210cm x 297cm) has an area of 62370 cm^2\n\na cube, with side "s" will have a surface area of "6s^2" because each face has an area of s^2 and there are 6 of them. setting the two equal to each other:\n\n6s^2 = 62370\n\ndivide by 6\n\ns^2 = 10395\n\nsquare root of both sides\n\ns = 101.96 cm this means that it is possible to make a cube with each face having a size of 101.96cm
353620
Multiply the length by the width by the height.\n\nIn your case 7*7*7 = 343 cubic units*\n\n*Whatever units you used for example cm's - cm3\n\nHope this is want you were after.
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
981062
The surface area of a sphere of radius 'r' is given by:\n\nsurface area = \n 4*pi*r^2\n \n\nNOTE: The value of p can never be known exactly, so surface areas of spheres cannot be calculated exactly. Common approximations for p are: 3.14, and 22/7. \n\nExample 1  if 'r' = 5 for a given sphere, and p = 3.14, then the surface area of the sphere is:\n\nsurface area = 4*pi*r^2\n\n         = 4 × 3.14 × 25\n\n         = 314
811463
The surface area of any prism equals the sum of the areas of its faces, which include the floor, roof and walls. Because the floor and the roof of a prism have the same shape, the surface area can always be found as follows:\ncall the 'floor' the 'base'. The height of the prism = 'H'.\nThe surface area of a prism = 2 × area of base  +  perimeter of base × H\n\nexamples:\n\nRectangular based prism:\nBase shape: Rectangle, length 'L' and width 'W'\nArea of base: L  × W\nPerimeter of base: 2(L+W)\nSurface area = 2LW + 2(L+W)H\n \nCircular based prism\nBase shape: Circle, radius 'R'\nArea of base: pR²\nPerimeter of base: 2pR\nSurface area = 2pR² + 2pRH\n\nTriangular based prism\nBase shape: Triangle: base 'b', height 'h', and sides S1, S2 and S3 \nArea of base: ½b×h\nPerimeter of base: S1+ S2 + S3\nSurface area = bh + (S1+ S2 + S3)H\n\nAs for lateral area of a cone , If r is the radius of the base, h is the altitude, and l is the length between the vertex and a point on the base circle \nlateral area pi rl=pi r x sq.root of r to the power 2 + sq.root of h to the power of 2\n or try this site- http://www.mathepower.com\n\nThe lateral area of a prism is the sum of the areas of the lateral faces (all the ... How many lateral faces does this prism have?\nWhat is the area of each \n\nelse there are many sites to giv better details matching ur specific figure ...try google for search..all luck..