Question

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.

Answer 1

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

The surface area is computed as follows:

`S=2\cdot\lbrack(x+4)(y+2)+z\cdot(y+2)+(x+4)z\rbrack`

B. The volume is computed as follows:

`V=(x+4)(y+2)z`

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