Question

a person 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? 60 square inches, 52 square inches, 24 square inches, 48 square inches

Explanation:

Step1: Identify the dimensions of the box

The box has length $l = 4$ inches, width $w=3$ inches and height $h = 2$ inches.

Step2: Recall the surface - area formula for a rectangular prism

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

Step3: Substitute the values into the formula

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

Answer:

52 square inches