Question

name: auyun g.2- surface area determine the surface area 9 in. 3 in. 10 in. 30 yd 20 yd 14 yd

Explanation:

Step1: Recall surface - area formula for rectangular prism

The surface - area formula of 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 for the first prism

For the prism with dimensions in inches: $l = 9$ in, $w = 10$ in, $h = 3$ in.
$SA_1=2(9\times10 + 9\times3+10\times3)$
$=2(90 + 27+30)$
$=2\times147$
$=294$ square inches.

Step3: Identify dimensions for the second prism

For the prism with dimensions in yards: $l = 30$ yd, $w = 20$ yd, $h = 14$ yd.
$SA_2=2(30\times20+30\times14 + 20\times14)$
$=2(600+420 + 280)$
$=2\times1300$
$=2600$ square yards.

Answer:

The surface - area of the first prism is 294 square inches and the surface - area of the second prism is 2600 square yards.