Question

unit 3 - geometry question 33, 6.5.1 hw score: 72.41%, 42 of 58 points points: 0 of 1 find the volume of the solid. diagram of a rectangular prism with dimensions 8 in, 9 in, 3 in the volume of the solid is □ (simplify your answer.) dropdown options: square inches, inches, cubic inches.

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, the length \( l = 9 \) in, the width \( w = 8 \) in, and the height \( h = 3 \) in.

Step3: Substitute the values into the formula and calculate.

Substitute \( l = 9 \), \( w = 8 \), and \( h = 3 \) into the formula:
\[
V = 9 \times 8 \times 3
\]
First, calculate \( 9 \times 8 = 72 \). Then, calculate \( 72 \times 3 = 216 \).

Step4: Determine the appropriate unit.

Since we are calculating volume, the unit should be cubic inches.

Answer:

The volume of the solid is \( 216 \) cubic inches.