Question

date: 9/24/25 block:____ a homework sheet area of each shape below.

Explanation:

Step1: Identify the shape as a rectangular - prism

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

Step2: For the first prism

Given \(l = 7\) in, \(w = 5\) in, \(h = 3\) in. Substitute into the formula: \(V_1=7\times5\times3\).
\[V_1 = 105\text{ in}^3\]

Step3: For the second prism

Given \(l = 12\) in, \(w = 8\) in, \(h = 5\) in. Substitute into the formula: \(V_2=12\times8\times5\).
\[V_2=480\text{ in}^3\]

Answer:

The volume of the first rectangular - prism is \(105\) cubic inches and the volume of the second rectangular - prism is \(480\) cubic inches.