Question

terry made a plastic birdhouse with the dimensions shown below. how many square inches of plastic did terry use before cutting the hole? 6 inches 10 inches 8 inches 188 square inches 216 square inches 376 square inches 480 square inches

Explanation:

Step1: Recall Surface Area Formula

The surface area \( SA \) of a rectangular prism is given by \( SA = 2(lw + lh + wh) \), where \( l \) is length, \( w \) is width, and \( h \) is height.

Step2: Identify Dimensions

From the problem, \( l = 10 \) inches, \( w = 8 \) inches, \( h = 6 \) inches.

Step3: Substitute into Formula

Calculate each term:

• \( lw = 10\times8 = 80 \)
• \( lh = 10\times6 = 60 \)
• \( wh = 8\times6 = 48 \)

Then, \( SA = 2(80 + 60 + 48) \)

Step4: Simplify the Expression

First, add inside the parentheses: \( 80 + 60 + 48 = 188 \)
Then, multiply by 2: \( 2\times188 = 376 \)

Answer:

376 square inches