math

For the city park commission, you are designing a marble planter in which to plant flowers. You want the length of the planter to be six times the height and the width of to be three times the height. The sides should be one foot thick. Since the planter will be on the sidewalk, it does not need a bottom. What should the outer dimentions of the planter be if it is to hold 4 cubic feet of dirt?

  1. 👍
  2. 👎
  3. 👁
  1. L = 6 h
    W = 3 h

    (L-2)(W-2)h = 4
    (6h-2)(3h-2)h = 4
    (18 h^2 - 18 h +4)h = 4
    18 h^3 - 18 h^2 + 4 h - 4 = 0
    That happens to be zero when h = 1, so that is a solution
    If h = 1
    L = 6
    W = 3

    That answers the question, but check to see if there are other solutions
    dividing by (h-1)
    I get
    18 h^2 + 4 = 0
    that has imaginary solution, so h = 1 is the only real solution.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    In pea plants, the allele for purple flowers, P, is dominant over the allele for white flowers, p. Which conclusion about phenotype and genotype is possible?(1 point) If a plant has white flowers, then its genotype must be pp. If

  2. Science

    In pea plants, purple flowers are dominant over white flowers. Which Punnet square correctly shows the cross of a plant with white flowers and a plant that is heterozygous for purple flowers? A. Aa,Aa, aa, aa B. Aa,Aa, Aa,Aa C.

  3. Biology

    Two purple flowers (Bb) are bred with each other in the same garden. What are the odds that red (BB) and blue (bb) flowers will occur in the second generation? A. 50% red flowers; 50% blue flowers B. 25% red flowers; 75% blue

  4. SCIENCE

    20. A horticulturist wants to plant that produces flowers with a certain size color and fragrance but is not aware of any one plant having all of these traits. The quickest way she could achieve her goal would be to apply the

  1. Science

    Over time, a plant pollinated by a hummingbird has developed very long, tube-like flowers. Why might the flower have adapted in this way? A)The longer, tube-shaped flowers probably developed to keep the hummingbird from reaching

  2. physics

    Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 5.75 µC, q2 = 1.48 µC, and q3 = −2.47 µC. Marble q1 is a distance r1 = 3.00 cm to the left

  3. math

    3. new flowers are being planted in a circular flower bed with a 14 foot diameter if each flower requires 2 square feet of space about how many flowers can be planted? a.308 flowers b.154 flowers c. 77 flowers d. 66 flowers

  4. Science 7th grd

    1. In pea plants, the allele for purple flowers, P, is dominant over the allele for white flowers, p. Which conclusion about phenotype and genotype is possible? Answer If a plant has white flowers, then its genotype must be pp. 2.

  1. Mendelian Genetics

    Assume you are performing a cross between a plant that is heterozygous for the dominant traits red flowers and wrinkled seeds, with a plant that is homozygous for the recessive traits white flowers and smooth seeds. Assume the

  2. biology

    A plant has red flowers. In this species, a red flower color is the dominant trait over a white flower color. What can you say about this plant? a : If the genotype is Rr, the phenotype will be red-flowered. b : If the plant has

  3. Math

    Landscape is designing a display of flowers for an area in a public park. The flower seeds will be planted at points lie on a circle that has a diameter of 8 feet. The point where seed is planted must be at least 2 feet away from

  4. Civics

    The _______ form of city government merges executive and legislative functions in a single group of officials. A. township B. commission C. mayor-council D. city manager C?

You can view more similar questions or ask a new question.