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How do you find surface area of a box with a base of 12 and height of 5?
Wiki User
∙ 16y ago
Lets say its 12 inches by 5 inches by 10 inches It will be 12X5 = 60X10 =600square inches.
Wiki User
∙ 16y ago
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Find the surface area of a sphere of radius 10.5cm?
The surface area is 1,385.4 cm2
A box with a square base with no top has a surface area of 108 square feet Find the dimensions that will maximize the volume Remember you want to maximize volume NOT surface area?
So first lets figure out what we know (and what it tells us): We are dealing with a box (assuming this is a normal box, the height of all the sides will be the same) Box has a square base (the width of all the sides will be the same) Box has no top (we only need to account for 5 sides when calculating surface area) Surface area = 108 ft2 Now let us write us equations from this information: Area of Base = W2 (we know the base is square, so L = W for the base; also because it is a box with a square base the width of each side of the box will be equal as well) Area of Side = L * W (in this case length can be thought of as the height of the box side) Total Area of 4 Sides and Base (Surface Area) = 4(L*W) + W2 = 108 Remember we are trying to maximize volume of the box. So let's turn to that equation: Volume = Length * Width * Height The length and width of the box is equal to the area of the base, which we know from above is equal to W2. We need to manipulate the above surface area equation to get the value of height in terms of W. 4(L*W) + W2 = 108 4(L*W) = -W2 + 108 L = -(1/4)W +27/W Now substitute into the volume equation: Volume = W2 * [-(1/4)W +27/W] Volume = (-1/4)W3 +27W Now that we have the volume in terms of one variable we can take the derivitive. Remember that the derivitive will tell us the rate at which volume is changing given different values for W. dV/dW = -(3/4)W2 + 27 By setting the derivitive equal to zero we will get an a minimum or a maximum (a critical point). -(3/4)W2 + 27 = 0 -(3/4)W2 = -27 W2 = 36 W = 6, -6 The width cannot be a negative number so we can discard that answer. In the case that both were positive numbers (and in this case just as a check), we should test to see whether our critical point is a minimum or a maximum. To do this take the second derivitive of the original equation: V = (-1/4)W3 +27W V' = -(3/4)W2 + 27 V'' = -(6/4)W At W = 6 the second derivitive is negative. Using the rule for the second derivitive test, if f''(x) < 0 then there is a local maximum at x. This confirms that our volume equation is maximized at W = 6 Unfortunately, we're not quite done. We found the width now we need the other dimensions. For that we can use our surface area equation to find L (the height) 4(L*W) + W2 = 108 4(L*6) + 62 = 108 24L + 36 = 108 24L = 72 L = 3 Now we're done. The dimensions of the box with the maximum volume given the information provided is 6ft x 6ft x 3ft.
What is the formula of surface area?
Times the length by the width of a floor to find the area in square measurement.12ft x 10ft = 120sq ft (could be written thus: 120ft2)
How do you find the area of a storage box with the sides 6.3 inches 12.6 inches and 4.2 inches and turn it into square inches?
Do you mean the surface area of the box? If so... What you do is break the surface area into 6 rectangles: Two rectangles have sides of length 6.3 and 12.6 inches. Two rectangles have sides of length 6.3 and 4.2 inches. Two rectangles have sides of length 12.6 and 4.2 inches. Find the area of each of the six rectangles (using the standard formula for the area of a rectangle, A = W x H), and add up all six. The sum of the areas of the six rectangles will be the surface area of the box. Since the lengths of the sides are in inches, the area will already be in square inches, and therefore you don't have to "turn it into square inches".
How do you find height of histogram?
I don't know what is histogram
How do you find the surface area when you have the base and side?
Base * height is surface area or (bh)
How do you find the surface area of a parallelogram?
The formula to find the surface area of a parallelogram is Base*Height.
How do you find the surface area of a triangle?
.5*base*height
How do you find surface area of an equilateral triangles?
Area = 0.5*base*perpendicular height
How do you find the surface area of cylinder when you have the base and height?
Entire surface area = (2piradius2)+(pidiameterheight) in square units
Which formula can be used to find the surface area of a rectangular prism?
surface area=(perimeter of base)x(height of the shape)+(area of the base)x(2)
How do you find the lateral area and the surface area when you have the slant height and the radius and the base edge?
3
How do you find the surface area of a regular pyramid?
Surface Area= 1/2perimeter x slant height + B * * * * * Perimeter = perimeter of base. B = Area of base.
How do you fin the surface area of a cylinder if you only have the height and circumference?
Find the radius by dividing the circumference by 2pi then find the area of the base and multiply it by the height
What is the formula to find the area of pyramid?
It has to do with the surface area formula: To find the total surface area of a pyramid, use this equation: Surface Area = B + 1/2 * P * s B = base area P = perimeter of the base s = slant height To find the volume of a Pyramid, substitute into this equation: V=1/3Bh B=base area h=height of pyramid
Find the surface area of a triangular prism with the height of 30 and a base of 120?
126
How do you find the base of a trapazoid when you have the height and area?
Area = Base * Height so Base = Area/Height
