justtryingtopass7
07.09.2021 •
Mathematics
Thomas needs to buy a cardboard sheet that will allow him to make his 224 in3 box. To help construct the box, he decided to cut out 2 inch squares from both the lengths and widths. Given that the length will need to be 6 inches longer than the width create an equation for the volume of the box, find the zeroes, the dimensions of the box, and graph the function. Build the box that Thomas calculated and upload a picture of it.
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Ответ:
w =width
l = 2w+4
p= 7w-3
P = 2(l+w)
substitute in p = 7w-3 and l = 2w+4
7w-3 = 2(2w+4+w)
combine like terms
7w-3 =2(3w+4)
distribute
7w-3 = 6w +8
subtract 6w from each side
w-3 = 8
add 3 to each side
w = 11
l = 2w + 4
l = 2(11) + 4 = 22+4 = 26
P = 7w-3 = 7*11-3 = 77-3 = 74