Question

1. honey comb cereal is packaged in a container like the one shown below. the dimensions of the box are 13 in. x 9 in. x 3 in. how much cardboard is needed to construct one cereal box? formula: substitute: answer:

Explanation:

Step1: Recall total surface area formula

The total surface area \( S \) of a rectangular prism is \( S = 2(lw + lh + wh) \), where \( l=13 \) in, \( w=9 \) in, \( h=3 \) in.

Step2: Calculate each pair product

First compute each term:
\( lw = 13 \times 9 = 117 \)
\( lh = 13 \times 3 = 39 \)
\( wh = 9 \times 3 = 27 \)

Step3: Sum the products

Add the three results:
\( 117 + 39 + 27 = 183 \)

Step4: Multiply by 2

Multiply the sum by 2:
\( S = 2 \times 183 = 366 \)

Answer:

366 square inches