Putting in the formula
Doing long division, we get
This is the simplifies form and it can't be further simplified.
Volume of Rectangular Prism =
Area of Base of Prism =
→→Volume of Rectangular Prism = Base Area × Height
→Height of Prism =
→Height of Prism =
x + 1 - ( 4 / x³ + 3x² + 8 )
If the volume of this rectangular prism ⇒ ( x⁴ + 4x³ + 3x² + 8x + 4 ), and the base area ⇒ ( x³ + 3x² + 8 ), we can determine the height through division of each. The general volume formula is the base area the height, but some figures have exceptions as they are " portions " of others. In this case the formula is the base area height, and hence we can solve for the height by dividing the volume by the base area.
Height = ( x⁴ + 4x³ + 3x² + 8x + 4 ) / ( x³ + 3x² + 8 ) = = = = - and this is our solution.
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8
Volume of the prism is given by the product of its base area and height. To get the height, divide the volume by the base area
Perform long division of the volume polynomial by the polynomial for base area to get the polynomial for height
The answer will be : x+1 + -4/(x³+3x²+8)
Dividing polynomials :
Keywords : volume, rectangular prism, area,height
The height of the prism is
you for asking question. here is your answer:
in order to find the height we will divide the polynomials.
we will divide the following equation:
x⁴+ 4x³ + 3x² + 8x + 4 by x³ + 3x² + 8
and then we will mutiply x³ + 3x² + 8 by x
and the second step would be we will subtract it from the other polynomial
and the result for that would be :
x³ + 3x² + 4
and now we will multiply x³ + 3x² + 8 by 1 and when we will do the subtraction, the result would be: -4
so the height is (x + 1)
the final answer for question is (x + 1)
if there is any confusion leave a comment below.
the area is multiplying all the given measurements together.
40 * 18 * 30 * 24 = 518,400
i want to die
what the hell man, i just want the points lol