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In a robotics competition, a robot must be built with a specific

maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 inĀ², a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

1 Answer

14 votes
L= 18, W = 15 and H = ?
2*(15+18) + 2*151) + 2* (18H) = 540 + 30H + 36H
1.728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is
less than 18
User Yashar Panahi
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