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  • 08-03-2022
  • Mathematics
contestada

The length and width of a box are 4 in. The volume is 48 in. ^3
What is the height of the box?

The length and width of a box are 4 in The volume is 48 in 3 What is the height of the box class=

Respuesta :

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  • 08-03-2022

Answer:

WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in

Step-by-step explanation:

VOLUME = (W+3)*(W-2)*W = 52

W*(W^2 +W - 6) = 525

SOLUTION BY TRIAL & ERROR

TRIAL 1 : LET W = 5; 5(25+5–6) = 120

TRIAL 2 : LET W=10; 10(100+10–6) = 1040

TRIAL 3 : LET W = 8; 8(64+8–6) = 528 OK

ANSWER WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in

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