Question

unit 3 - logic and geometry 23 of 34 this quiz: 34 point(s) possible this question: 1 point(s) possible find the volume of the solid. diagram of a rectangular prism with dimensions 4 in, 5 in, 3 in the volume of the solid is
(simplify your answer.)

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.

From the diagram, we can see that the length \( l = 5 \) in, the width \( w = 4 \) in, and the height \( h = 3 \) in.

Step3: Substitute the values into the formula and calculate.

Substitute \( l = 5 \), \( w = 4 \), and \( h = 3 \) into the formula:
\[

$$\begin{align*} V&=5\times4\times3\\ &=20\times3\\ &= 60 \end{align*}$$

\]

Answer:

The volume of the solid is \( 60 \) cubic inches.