Question

the figure shows a net of a rectangular prism. which expression can be used to find the surface area of the prism? 2(20·8)+2(20·3)+2(8·3) what is the surface area of the prism? sa = cm²

Explanation:

Step1: Recall surface - area formula

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

Step2: Identify dimensions

From the net, assume $l = 20$ cm, $w = 8$ cm, and $h = 3$ cm.

Step3: Substitute values

$SA=2(20\times8)+2(20\times3)+2(8\times3)$.

Step4: Calculate each term

$2(20\times8)=2\times160 = 320$, $2(20\times3)=2\times60 = 120$, $2(8\times3)=2\times24 = 48$.

Step5: Sum up the terms

$SA=320 + 120+48=488$ $cm^{2}$.

Answer:

$488$ $cm^{2}$