Answer:
width of the rectangular prism = 4.5 inches
Step-by-step explanation:
The volume, V, of a rectangular prism is determined using the formula , where l is the length, w is the width, and h is the height of the prism.
he width, and h is the height of the prism. Carltren solves for w and writes the equivalent equation w =
Volume of a rectangular prism = length * width * height
V= l*w*h
Solve for w. divide both sides by l*h
a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches
4.5= w
So width of the rectangular prism = 4.5 inches
The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
Substituting:
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6: