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?
11 cm
26 cm
768 cm
13 cm
1664 = 16 * 8 * w
1664 = 128w
? = w
To find the width of the rectangular prism, you can rearrange the formula for volume to solve for width. The formula V = lwh can be rewritten as w = V / (lh), where w represents the width, V represents the volume, l represents the length, and h represents the height.
Now, substitute the given values into the formula:
V = 1664 cubic centimeters (given volume)
l = 16 centimeters (given length)
h = 8 centimeters (given height)
Plug these values into the formula and solve for w:
w = 1664 / (16 * 8)
w = 1664 / 128
w = 13
Therefore, the width of the rectangular prism is 13 cm.