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jok3333 [9.3K]
3 years ago
5

The next question refers to the dialogue that follows. The paragraphs have been numbered to help you identify them more easily.

SAT
2 answers:
sergejj [24]3 years ago
8 0
The correct answer is 2 .
const2013 [10]3 years ago
3 0

Answer:

2

Explanation:

I think 2 is the correct one

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~A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inc
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Answer:

Volume = 480 cubic inches

Explanation:

We have the following relationships to work with

width w = h -3

length l = h + 4

area of base of prism a = l x w = 60  (1)

area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)

Setting (1) = (2) gives

h² + h -12 =60

h² + h -72 = 0

Factoring the LHS we get

(h+9)(h-8) = 0

The solutions for h are

h + 9 = 0 ==> h = -9

h - 8 = 0 ==> h = 8

Since h cannot be negative, h = 8 inches

Volume = base area x h = 60 x 8 = 480 cubic inches

<u>Note</u>

We do not have to calculate length and width separately, but if so,

w = 8 -3 = 5

l = 8 + 4 = 12

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