Question

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Explanation:

1. Explanation:

• Step 1: Find the volume of the upper - part of the rectangular prism
• The upper - part of the rectangular prism has dimensions: length \(l = 14\) cm, width \(w = 3\) cm, and height \(h_1=3\) cm.
• The volume formula for a rectangular prism is \(V = l\times w\times h\). So, \(V_1=14\times3\times3=\ 126\) \(cm^3\).
• Step 2: Find the volume of the lower - part of the rectangular prism
• The lower - part of the rectangular prism has dimensions: length \(l = 14\) cm, width \(w = 3\) cm, and height \(h_2 = 5\) cm.
• Using the volume formula \(V = l\times w\times h\), we get \(V_2=14\times3\times5 = 210\) \(cm^3\).
• Step 3: Find the total volume of the composite figure
• The total volume \(V = V_1+V_2\).
• Substitute \(V_1 = 126\) \(cm^3\) and \(V_2=210\) \(cm^3\) into the equation: \(V=126 + 210=336\) \(cm^3\).

1. Answer:

\(336\) \(cm^3\)

Answer:

1. Explanation:

• Step 1: Find the volume of the upper - part of the rectangular prism
• The upper - part of the rectangular prism has dimensions: length \(l = 14\) cm, width \(w = 3\) cm, and height \(h_1=3\) cm.
• The volume formula for a rectangular prism is \(V = l\times w\times h\). So, \(V_1=14\times3\times3=\ 126\) \(cm^3\).
• Step 2: Find the volume of the lower - part of the rectangular prism
• The lower - part of the rectangular prism has dimensions: length \(l = 14\) cm, width \(w = 3\) cm, and height \(h_2 = 5\) cm.
• Using the volume formula \(V = l\times w\times h\), we get \(V_2=14\times3\times5 = 210\) \(cm^3\).
• Step 3: Find the total volume of the composite figure
• The total volume \(V = V_1+V_2\).
• Substitute \(V_1 = 126\) \(cm^3\) and \(V_2=210\) \(cm^3\) into the equation: \(V=126 + 210=336\) \(cm^3\).

1. Answer:

\(336\) \(cm^3\)