The volume of a rectangular prism is (x{3} – 3x{2} + 5x – 3), and the area of its base is (x{2} – 2). If the volume of a rectang

Question

3 years ago

15

ular prism is the product of its base area and height, what is the height of the prism?

2 answers:

ikadub [295] · Answer 1 · 2022-05-20T02:15:04+03:00

7 0

Answer:

A)x-3 + 7x-9/x^2-2

Step-by-step explanation:

Gemiola [76] · Answer 2 · 2022-05-20T00:44:51+03:00

Answer:

x³ - 3x² + 5x - 3 / x² - 2

Step-by-step explanation:

Given in the question,

volume of a rectangular prism = x³ - 3x² + 5x - 3

base area of a rectangular prism = x² - 2

Formula for the volume of prism

V = BA x H

here BA is base area

H is height

Formula for the height of prism

H = V / BA

plug values in the formula

x³ - 3x² + 5x - 3 / x² - 2

We will do long division

x - 1

----------------------------

x² - 2 | x³ - 3x² + 5x - 3

x³ - 2x²

---------------------------

-x² + 5x - 3

-x² + 2

----------------------

5x - 5

The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.