Questions: What's the volume of a rectangular prism that has a length of 18 in., a height of 6 in., and a width of 12 in.? 108 in. ^3 1926 in. ^3 72 in. ^3 1296 in. ^3

Solution Steps

The volume \( V \) of a rectangular prism is calculated using the formula: \[ V = \text{length} \times \text{width} \times \text{height} \]

Given:

• Length \( = 18 \, \text{in.} \)
• Width \( = 12 \, \text{in.} \)
• Height \( = 6 \, \text{in.} \)

Substitute these values into the formula: \[ V = 18 \times 12 \times 6 \]

First, multiply the length and width: \[ 18 \times 12 = 216 \]

Next, multiply the result by the height: \[ 216 \times 6 = 1296 \]

Thus, the volume is \( 1296 \, \text{in.}^3 \).

Final Answer