Anonymous asked in Science & MathematicsMathematics · 1 month ago

Math help pelase?

A rectangular prism has a volume of 37.1 cm³. For this volume determine the dimensions of the prism with minimum surface area.

Anything is much appreciated, thank you!!

2 Answers

  • 1 month ago

    Make it a cube. Length, width, and height are each cbrt(37.1 cm^3) which is around 3.335221152861612935327329519331 cm

  • 1 month ago

    Most efficient arrangement is cubic, so the dimensions are 3.335 cm x 3.335 cm x 3.335 cm.  You can probably find a proof in various books (that the cube has the minimum surface area).

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