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For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to label each part of your response as Part A, Part B, and Part C.Suppose you are constructing a cardboard box in the shape of a rectangular prism.Part A: If you increase the length of the box by 4 inches and the height by 2 inches, how can the surface area of the box be represented?Part B: How can the volume of the cardboard box you have built, after you increased the length of the box by 4 inches and the height of the box by 2 inches, be represented?Part C: When completing a problem that requires multiple operations, explain how you know what operation to perform first.

Respuesta :

A. After increasing the length and the height of the prism, its dimensions are:

The surface area is computed as follows:

[tex]S=2\cdot\lbrack(x+4)(y+2)+z\cdot(y+2)+(x+4)z\rbrack[/tex]

B. The volume is computed as follows:

[tex]V=(x+4)(y+2)z[/tex]

C. The order of operations is stated by the PEMDAS rule, that is, first Parentheses, then Exponents, next Multiplications, then Divisions, next Additions, and finally Subtractions

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