A terrarium in the shape of a rectangular prism has a volume of 4608 cubic inches. its length is more than 10 inches. the dimensions of the terrarium in terms of width are shown. calculate the length width and height of the terrarium

The width is 12 inches, the length is 24 inches, and the height is 16 inches

Step-by-step explanation:

Please see the attached photo, it provides full information we need to solve this problem

We know that:

So the vomume fomula is = LWH = (36 -w)*w*(w+4)

<=> + 114w - - 4608

<=> w = 32 and w =  12 and w= -12

Disregard w= -12, because the width cannot be negative, and we also know that length is more than 10 inches so w =  12 is fit with the requirement.

=> Length = 36 -12 = 24

Width = 12 and Hight = 12 + 4 = 16

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step-by-step explanation:

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