Ask Question
15 December, 10:35

Some ice sculptures are made by filling a mold with water and then freezing it. A pyramid shaped mold has a height that is 1 foot greater than the length of each side of its square base. The volume of the ice sculpture is 4 cubic feet. What are the dimensions of the mold

+4
Answers (1)
  1. 15 December, 13:23
    0
    The dimensions of the base of the mood is square, given by 2 ft by 2 ft

    And the height of the mood = 3 ft.

    Explanation:

    Volume of a pyramid = (1/3) (Area of base) (perpendicular height)

    Let the length of the square base be b

    Let the perpendicular height be h

    Area of base = b²

    Perpendicular height = h = b+1

    Volume of the pyramid = 4 ft³

    4 = (1/3) (b²) (b+1)

    12 = b² (b+1)

    b³ + b² = 12

    b³ + b² - 12 = 0

    Solving the polynomial,

    b = 2 ft or - 1.5 ft

    And since dimensions cannot be negative,

    b = 2 ft.

    The height of the mood = b + 1 = 3 ft
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Some ice sculptures are made by filling a mold with water and then freezing it. A pyramid shaped mold has a height that is 1 foot greater ...” in 📘 Arts if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers