The volume of a rectangular prism can be computed using the formula V = lwh. What is the width of a prism that has a volume of 1664 cubic centimeters, a length of 16 centimeters, and a height of 8 centimeters?
A.
11 cm
B.
13 cm
C.
26 cm
D.
768 cm
13
To find the width of the prism, we can rearrange the formula for volume V = lwh to solve for w.
Given:
V = 1664 cubic centimeters
l = 16 centimeters
h = 8 centimeters
Substituting these values into the volume formula:
1664 = 16w*8
Simplifying the equation:
1664 = 128w
Now, solve for w by dividing both sides of the equation by 128:
w = 1664/128
Calculating:
w = 13
Therefore, the width of the prism is 13 cm.
So, the correct answer is B. 13 cm.
To find the width of a rectangular prism, we can rearrange the formula for volume and solve for the width (w). The formula for volume is V = lwh, where V represents the volume, l represents the length, w represents the width, and h represents the height.
Given:
Volume (V) = 1664 cubic centimeters
Length (l) = 16 centimeters
Height (h) = 8 centimeters
We need to find the width (w).
Substituting the given values into the formula, we get:
1664 = 16w*8
1664 = 128w
To find w, we divide both sides of the equation by 128:
w = 1664 / 128
w = 13
Therefore, the width of the prism is 13 centimeters.
So, the correct answer is option B: 13 cm.