The surface area of the open-top box is <u>23872 cm²</u>.
In the question, we are asked to find the surface area of an open-top box with a length of 9cm, a width of 8cm, and a height of 7m.
The length is given to be, l = 9 cm.
The width is given to be, w = 8 cm.
The height s given to be, h = 7 m = 700 cm.
The box is in the shape of a cuboid.
The surface area of a cuboid is calculated using the formula, A = 2(lw + wh + hl).
But, the given box has an open top. Thus, one surface involving the length and width, that is, with an area of lw is missing.
Thus, the surface area of the open-top box can be calculated as:
A = 2(lw + wh + hl) - lw,
or, A = lw + 2h(w + l).
Substituting the values now, we get:
A = 9*8 + 2*700/(9 + 8),
or, A = 72 + 1400*17,
or, A = 72 + 23800,
or, A = 23872 cm².
Thus, the surface area of the open-top box is <u>23872 cm²</u>.
Learn more about the surface area of a cuboid at
brainly.com/question/26403859
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