Ask Question
19 May, 21:32

The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and width of the prism be? Explain your solution strategy

+4
Answers (1)
  1. 19 May, 21:37
    0
    The answer to your question is below

    Step-by-step explanation:

    Data

    Volume = 270 cm³

    height = 5 cm

    length = ?

    width = ?

    Formula

    Volume of a rectangular prism = height x length x width

    - Solve for Area of the base (height x length)

    Area of the base = Volume / height

    -Substitution

    Area of the base = 270 / 5

    -Result

    Area of the base = 54 m²

    2. - Find the prime factors of 54

    54 2

    27 3

    9 3

    3 3

    1

    3. - The possible values of the sidas of the rectangle are:

    Combining the prime factor of 54.

    Length Width

    2 x 3 = 6 and 3 x 3 = 9

    or 2 x 3 x 3 = 18 and 3 x 1 = 3

    or 3 x 3 x 3 = 27 and 2 x 1 = 2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and width of the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers