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KIM [24]
4 years ago
6

The volume of a rectangular prism with a square base is fixed at 120 cubic feet.

Mathematics
1 answer:
Ymorist [56]4 years ago
7 0

Answer:

<u>The correct answer is C.  A(x) = 480/x +2x²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Volume of a rectangular prism with square base = 120 cubic feet

Side of the square base = x

Height of the prism = h

2. Write the surface area of the prism as a function A(x) of the length of the side of the square x.

Let's find out A(x) this way:

Volume of a rectangular prism with square base = 120 cubic feet

x² * h = 120

h = 120/x²

Now, let's substitute h in the surface area formula, this way:

Surface area = 2 * side of the square base² + 4 * side of the square base * height

A(x) = 2x² + 4x * 120/x² (Recall 120/x² = h and side of the square = x)

A(x) = 2x² + 480x/x²

<u>A(x) = 2x² + 480/x </u>

<u>The correct answer is C.  A(x) = 480/x +2x²</u>

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<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

<h3>According to the given data:</h3>

The example space for rolling two dice is:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

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