# Surface area of a rectangular box with square base formula

SOLUTION: An open rectangular box with volume 7 m3 has a square base. (a) Express the surface area of the box as a function of the length (x) of a side of the base. Algebra -> Volume -> SOLUTION: An open rectangular box with volume 7 m3 has a square base. Aug 23, 2015 · The formula for the surface area of a rectangle is: A = l x w where A is area, l is length, and w is width. Trending Questions What happened to all of Bob Ross’ paintings? Area wl = (w)(l) Each of the above areas are present on two sides of the box. So, the total surface area is sum of twice each of these areas, that is: Total Surface Area = 2(Area hw) + 2(Area hl) + 2(Area wl) The formula for the surface area of a rectangular prism is: SA = 2lh + 2wh + 2lw. However, since this has a square base, l = w. Therefore, SA = 2lh + 2lh + 2l^2. If x = length and h = height, substitute! SA = 2xh + 2xh + 2x^2 ==> SA = 2x^2 + 4xh. Therefore, the surface area in terms of x and h is 2x^2 + 4xh. Hope this helps. Jun 28, 2019 · To find the surface area of a box, start by calculating the area of each side using the formula a = lh, where l is the length and h is the height. Once you know the area of every side, add them all together to get the surface area of the box. Pyramid Surface Area . Volume = (1/3)a 2 h ; Lateral Surface Area = a√(a 2 + 4h 2) Base Surface Area = a 2; Total Surface Area = L + B = a 2 + a√(a 2 + 4h 2)) = a(a + √(a 2 + 4h 2)) Rectangular Prism Surface Area . Volume = lwh ; Surface Area = 2(lw + lh + wh) Sphere Surface Area . Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh