Question

vito has an 8 - inch by 10 - inch piece of cardstock. he cuts it in the shape shown below and folds it on the dotted lines. he tapes the sides to make the box shown below. what is the surface area of the box? 2 inches 3 inches 4 inches 3 inches 2 inches 52 square inches 24 square inches 48 square inches 60 square inches

Explanation:

Step1: Identify box dimensions

Length $l = 4$ inches, width $w=3$ inches, height $h = 2$ inches.

Step2: Recall surface - area formula

The surface - area formula for a rectangular prism is $SA=2(lw + lh+wh)$.

Step3: Substitute values into formula

$SA = 2(4\times3+4\times2 + 3\times2)$.
First, calculate the products inside the parentheses: $4\times3 = 12$, $4\times2=8$, $3\times2 = 6$.
Then, add them: $12 + 8+6=26$.
Finally, multiply by 2: $SA=2\times26 = 52$ square inches.

Answer:

52 square inches