Final answer:
The formula for the volume of a rectangular prism is V = l × w × h. To solve for w, divide both sides of the equation by l and h. To find the width of a rectangular prism with a given volume, length, and height, substitute the values into the formula and solve for w.
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = l imes w imes h, where l is the length, w is the width, and h is the height.
a) To solve the formula for w, we need to isolate w on one side of the equation:
V = l imes w imes h
Divide both sides by l and h:
V / (l imes h) = w
So, the formula for w is w = V / (l imes h).
b) Given V = 79.04 cubic centimeters, l = 5.2 centimeters, and h = 4 centimeters, we can substitute these values into the formula to find the width, w:
w = V / (l imes h)
w = 79.04 / (5.2 imes 4)
w ≈ 3.04 centimeters