Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square centimeters

The base and height of the solid is 5.5cm

Step-by-step explanation:

Given

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

181.5 =x^2h

The surface area (S) is calculated as this:

Substitute 181.5 for S

Make h the subject:

Substitute in

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

Set to 0

Multiply through by 4

Recall that:

So, we have:

Hence, the base and height of the solid is 5.5cm

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step-by-step explanation:

gayule

the answer is 54 sq. ft. i just did this question, on odyssey ware, and it was right. make brainliest.