Question

a rectangular prism is shown below. which diagram is a net for this prism? what is the surface area of the rectangular prism? square centimeters

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a rectangular prism with length $l$, width $w$, and height $h$ is $SA = 2(lw+lh + wh)$.

Step2: Identify dimensions

Given $l = 4$ cm, $w = 3$ cm, and $h = 2$ cm.

Step3: Substitute values into formula

$SA=2(4\times3 + 4\times2+3\times2)$.

Step4: Calculate products inside parentheses

$4\times3 = 12$, $4\times2 = 8$, $3\times2 = 6$. So $SA = 2(12 + 8+6)$.

Step5: Calculate sum inside parentheses

$12 + 8+6=26$. So $SA = 2\times26$.

Step6: Calculate final result

$SA = 52$ square centimeters.

Answer:

52