City Park: You are desinigng a marble planter for a city park. You want the length of the planter to be sic times the height, and the width to be three times the height. The sides should be one foot thick. BEcause the planter will be on the sidewalk, it doesnot need a bottom. What should the outer dimensions of the planter be if it is to hold 4 cubic feet of dirt.

Question

Waters

Mathematics

17 June, 16:15

City Park: You are desinigng a marble planter for a city park. You want the length of the planter to be sic times the height, and the width to be three times the height. The sides should be one foot thick. BEcause the planter will be on the sidewalk, it doesnot need a bottom. What should the outer dimensions of the planter be if it is to hold 4 cubic feet of dirt.

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Answers (1)

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Rayne Campbell · Answer 1

Answer: 6 feet x 3 feet

Step-by-step explanation:

Let the height be given by = x

The length is = 6x - 2 (1) from both sides = 6x-2

The width is = 3x-2 (1) from both sides = 3x-2

The total volume = length * width * height

4 = (6x-2) * (3x-2) * x

Solving we get,

x=1 and other factor is not the valid option.

So the outer dimensions should be 6 feet x 3 feet