Question

you have a rectangular piece of steel whose dimensions are 20 inches by 16 inches. you are required to cut out the four corners of a rectangular sheet of steel so that you may fold up the sides to create a box. write tye function you would use to find the volume, v (x) of the box if x represents the length of the cuts.

Answer 1

Given:
Rectangular piece: length = 20 inches ; width = 16 inches.
Cut a square in the four corners with x as its measure.

length = (20 - 2x) inches ; width = (16 - 2x) inches

volume of the box: length * width * height
V = (20-2x) * (16 - 2x) * x

Use FOIL (First, Outer, Inner, Last)
V = (20*16) + (20 * -2x) + (-2x * 16) + (-2x * -2x) * x
V = (320 - 40x - 32x + 4x²) * x
V = (4x² - 72x + 320) * x

V = 4x³ - 72x² + 320x

Answer 2

Hello there.

You have a rectangular piece of steel whose dimensions are 20 inches by 16 inches. you are required to cut out the four corners of a rectangular sheet of steel so that you may fold up the sides to create a box. write tye function you would use to find the volume, v (x) of the box if x represents the length of the cuts.

4x³ - 72x² + 320x