A = 2lw + 2lh + 2wh
so A - 2lw = 2lh + 2wh = 2h(l+w) = h*2(l+w)
so h = 1/2*(A-2lw)/(l+w)
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2lw + 2lh + 2wh
The surface area of a rectangular prism can be calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively. This formula accounts for the two faces of each dimension (length, width, and height) on the rectangular prism.
Surface area of a rectangular prism is equal to 2LW+2LH+2HW. So for this object: 2*3*4+2*3*8+2*8*4=24+48+64=136 square inches.
Designating the prism's length by l, the prism's width by w, and the prism's height by h, the general formula is 2lw+2lh+2hw, because there are two surfaces that are rectangles with length and width of the prism's length and width, two surfaces that are rectangles with length and width that are the prism's length and height, and two surfaces that are rectangles with length and width that are the prism's width and height. To give all dimensions the same units, multiply the 2 foot width by 12 in/ft to yield 24 inches Applying the formula yields: (2 X 24 X 14) + (2 X 24 X 11) + (2 X 11 X 14) = 1508 square inches.
Sure thing, honey. To find the total square area of a 3D object, you gotta add up the areas of all its faces. So for a rectangular prism like this, you calculate 2lw + 2lh + 2wh, which gives you 46 square meters. Voilà, that's your answer, darling.