Question

what is the volume? 16 in 13 in 12 in cubic inches submit

Explanation:

Step1: Recall the formula for the volume of a rectangular prism

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Identify the length, width, and height

From the diagram, the length \( l = 13 \) in, the width \( w = 12 \) in, and the height \( h = 16 \) in.

Step3: Calculate the volume

Substitute the values into the formula: \( V = 13 \times 12 \times 16 \). First, calculate \( 13 \times 12 = 156 \). Then, calculate \( 156 \times 16 \).
\[

$$\begin{align*} 156\times16&=(150 + 6)\times16\\ &=150\times16+6\times16\\ &=2400+96\\ &=2496 \end{align*}$$

\]

Answer:

2496