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5. Teo cuts 4 squares with side length x in. from the corners of a 10 in. by 15 in.

cardboard rectangle. He folds the remaining cardboard to make

a tray that is x in. high. Write and simplify a function for the volume

V of the tray in terms of x.

HELP

Respuesta :

mhanifa

Answer:

  • V(x) = 4x³ - 50x² + 150

Step-by-step explanation:

Initial area is 10 in x 15 in.

After cutting the corners and folding, the remaining dimensions are:

  • Length, l = 15 - 2x
  • Width, w = 10 - 2x
  • Height, h = x

The volume of the tray is:

  • V = lwh
  • V(x) = (15 - 2x)(10 - 2x)x = 4x³ - 50x² + 150

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