Question

what is the surface area of this rectangular prism? 7 mm 16 mm 12 mm square millimeters work it out not feeling ready yet? these can help: nets of three - dimensional figures area of rectangles and lesson: what is surface area?

Explanation:

Step1: Recall surface - area formula

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. Here, $l = 16$ mm, $w = 12$ mm, and $h = 7$ mm.

Step2: Calculate $lw$

$lw=16\times12 = 192$

Step3: Calculate $lh$

$lh=16\times7 = 112$

Step4: Calculate $wh$

$wh=12\times7 = 84$

Step5: Calculate sum inside parentheses

$lw + lh+wh=192 + 112+84=388$

Step6: Calculate surface area

$SA = 2\times388=776$

Answer:

776