anonymous
  • anonymous
Volume A box 10 inches high has a square base. The box was made 9 inches longer, and 3 inches narrower (or its width was decreased by 3 inches) while the height remained 10 inches. Give the original length of one side of the box if these changes increased the volume of the box by 50
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
put them into an equation of volumes let the square base be x 10 x^2 = 10(x+9)(x-3) + 50
DDCamp
  • DDCamp
Original volume = 10 × y × y New volume = 10 × (y+9) × (y-3) New Volume - Original Volume = 50 10(y+9)(y-3) - 10(y)(y) = 50 Solve for y
anonymous
  • anonymous
@DDCamp i believe you got that backwards :P 10yy - 10(y+9)(y-3) = 50 Volume increased after change so ..

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DDCamp
  • DDCamp
@nphuongsun93 Yes, the volume increased, so the new volume must be larger. So the new volume - the old volume would be a positive 50.
anonymous
  • anonymous
"The box was made"
anonymous
  • anonymous
anyway just solve this 10 x^2 = 10(x+9)(x-3) + 50

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