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richtercatrina16
22.08.2020 •
Mathematics
2) We are filling the storage room with packages of toilet paper. The packages measure 18
inches x 13 inches x 9 inches, the warehouse measures 12 feet by 20 feet by 8 feet. Inside
each box are 9 rolls of toilet paper. How many rolls are in this warehouse?
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Ответ:
14,175
Step-by-step explanation:
since measurement of packages are used in inches we will convert warehouse dimension in inches to keep the unit same.
1 foot = 12 inch
dimension of room
12 feet by 20 feet by 8 feet
dimension of room in inches
12 feet = 12*12 inches = 144 inches
20 feet = 12*20 inches = 240 inches
8 feet = 12*8 inches = 96 inches
volume of cube = length *width *height
dimension of room = 144 inches * 240 inches * 96 inches
= 3,317,760 cubic inches
volume of 1 package = 18 inches * 13 inches * 9 inches = 2,106 cubic inches.
let there be n packages in the room
volume of n package = n*volume of 1 package = 2,106*n cubic inches.
This volume of n packages should be equal to volume of warehouse
2,106*n= 3,317,760
=> n= 3,317,760/2,106 = 1,575.38
since package cannot be in fraction and value after decimal is less than 5 we will round the value to 1,575.
Thus, no of packages is 1,575
1 package has 9 rolls
1,575 package has 9*1575 rolls
thus, no of rolls in the warehouse = 14,175
Ответ:
16
Step-by-step explanation:
26.42 is estimated to 26
-9.8 is estimated to -10
Then you subtract positive 26 minus negative 10 and you get 16.