Question

30 yd 2600 14 yd 20 yd 3.5 in. 4 in. 6 in.

Explanation:

1. For the first rectangular - prism (in yards):

• The volume formula for a rectangular prism is \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
• Given \(l = 30\) yd, \(w = 20\) yd, and \(h = 14\) yd.
• Step 1: Substitute the values into the formula
• \(V=30\times20\times14\).
• Step 2: First, multiply 30 and 20
• \(30\times20 = 600\).
• Step 3: Then multiply the result by 14
• \(600\times14=8400\) cubic - yards.

1. For the second rectangular - prism (in inches):

• Using the volume formula \(V = l\times w\times h\), with \(l = 3.5\) in, \(w = 4\) in, and \(h = 6\) in.
• Step 1: Substitute the values into the formula
• \(V = 3.5\times4\times6\).
• Step 2: First, multiply 3.5 and 4
• \(3.5\times4=14\).
• Step 3: Then multiply the result by 6
• \(14\times6 = 84\) cubic - inches.

Answer:

The volume of the first rectangular prism is 8400 cubic yards and the volume of the second rectangular prism is 84 cubic inches.