A box shaped like a rectangular prism has a height of 17 in and a volume of 2.720 in^3. The length is 4 inches greater than twice the width.

Question

A box shaped like a rectangular prism has a height of 17 in and a volume of 2.720 in^3. The length is 4 inches greater than twice the width. What is the width of the box?

O -10 in
O 8 in
O 20 in
O 40 in

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Gerda 3 years 2021-08-25T09:07:45+00:00 1 Answers 0 views 0

Answers ( )

  1. Dulcie
    0
    2021-08-25T09:09:08+00:00
    Reply

    Answer:

    8

    Step-by-step explanation:

    Height, h = 17

    Let :

    Width = x

    Length = 2x + 4

    Volume = 2720 in³

    Volume of rectangular prism = Length * width * height

    2720 = 17 * x * (2x + 4)

    2720 = 34x² + 68x

    34x² + 68x – 2720 = 0

    x² + 2x – 80 = 0

    x² + 10x – 8x – 80 = 0

    x(x + 10) – 8(x + 10)

    (x + 10) = 0 or (x – 8) = 0

    X = – 10 or x = 8

    Width can’t be negative

    Hence, width, x = 8

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