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Sergio039 [100]
3 years ago
14

A rectangular box has dimensions 4 ft by 5 ft by 2 ft. Increasing each dimension of the box by the same amount yields a new box

with volume six times the old. Find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

(4+x)(5+x)(5+x) = 700

x^3 + 14x^2 + 65x + 100 = 700

x^3 + 14x^2 + 65x - 600 = 0

x = 4.225

rounding = 4.23

Step-by-step explanation:

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Prism Formula: V = lwh

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>l</em> = 13.8 cm

<em>w</em> = 4.5 cm

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<u>Step 2: Solve for </u><em><u>V</u></em>

  1. Substitute in variables [Volume of a Prism Formula]:                                    V = (13.8 cm)(4.5 cm)(5 cm)
  2. Multiply:                                                                                                             V = (62.1 cm²)(5 cm)
  3. Multiply:                                                                                                             V = 310.5 cm³
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Step-by-step explanation:

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