a cooler has 60L capacity. its internal length is 60cm and its internal width is 35cm. Determine the internal height and the internal surfac

Question

a cooler has 60L capacity. its internal length is 60cm and its internal width is 35cm. Determine the internal height and the internal surface area of the cooler.

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Helga 5 years 2021-07-17T15:20:35+00:00 1 Answers 108 views 0

Answers ( )

  1. thienthanh
    0
    2021-07-17T15:21:52+00:00
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    Answer:

    Internal height is approximately 28.5714285714286 cm

    Internal surface area is roughly 9628.57142857143 square cm

    Round the values however you need to

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    Step-by-step explanation:

    Work Shown:

    1 L = 1000 mL

    1 L = 1000 cm^3

    60 L = 60,000 cm^3 (multiply both sides by 60)

    The cooler has volume of 60,000 cubic cm. Let V = 60000

    Assuming the cooler is a rectangular prism (aka a block), then we can say

    volume = length*width*height

    V = L*W*H

    60000 = 60*35*H

    60000 = 2100H

    2100H = 60000

    H = 60000/2100

    H = 28.5714285714286 which is approximate

    And the surface area (SA) is

    SA = 2*(LW + LH + WH)

    SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)

    SA = 9628.57142857143 which is also approximate

    Units for the surface area are in square centimeters.

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