Question

A box is to constructed with a rectangular base and a height of 5cm. if the rectangular base must have a perimeter of 28cm, which quadratic equation best models the volume of the box ? a. y=5(28-8)(x) b.y=5(28-2x)(x) c. y=5(14-x)(x) d. y=5(14-2x)(x)

Answers

  1. y=5(14-x)(x) quadratic equation best models the volume of the box .
    What is volume of cuboid?
    • Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
    • The volume of a cuboid is found by multiplying the length by the breadth by the height.
    Perimeter = 2(width + length) =28
    Let x=width of base, then length of base = (28/2)-x = 14-x
    Volume of box = length*width*height
    =x(14-x)*5  ⇒ 5x(14-x)(x)
    Therefore, y=5(14-x)(x) quadratic equation best models the volume of the box .
    Learn more about cuboid
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