The total surface area of rectangular block of wood is 6048cm^2. If the area of its square base is 1296 cm^2, find its height. (All of you plz solve step by step )
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The total surface area of a rectangular prism is found by: 2(lw+lh+wh)=SA where l represents the length, w is the width, and h represents height.
Since we know the Base is a square that means that the length and width are equal values. Therefore to find each length and width, take the square root of 1296.
Length and Width both = sqrt(1296)=36
Therefore substituting these values in for the formula for surface area, solve for "h" to find the height.
SA = 2(36*36+36h+36h)
6048 = 2(1296+72h)
6048=2592+144h
-2592 = -2592
3456 = 144h
(3456)/(144)=(144h)/(144)
24=h
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