Question #60923

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Question #60923

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Answer 1 · 2017-04-06T01:31:49

$A = 2 (l \cdot w + h \cdot l + H \cdot w)$ $A=2(l*w+h*l+H*w)$

Explanation:

$h = h e i g h t$ $h=height$
$w = w i d t h$ $w=width$
$l =$ $l=$ length

Basically the find the area of all sides on the prism and add them up.

Answer 2 · 2017-04-06T01:33:25

$2 h w + 2 h l + 2 l w = 2 (h w + h l + l w)$ $2hw+2hl+2lw=2(hw+hl+lw)$ , where $h$ $h$ is the height, $w$ $w$ is the width, and $l$ $l$ is the length

Explanation:

If you are given the height $h$ $h$ , width $w$ $w$ , and length $l$ $l$ of the rectangular prism, finding the surface area is equivalent to finding the areas of the six rectangles.

There are two sides with area $h w$ $hw$ , two sides with area $h l$ $hl$ , and two sides with area $l w$ $lw$ . Thus, the total surface area is $h w + h w + h l + h l + l w + l w = 2 h w + 2 h l + 2 l w = 2 (h w + h l + l w)$ $hw+hw+hl+hl+lw+lw=2hw+2hl+2lw=2(hw+hl+lw)$ .

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Question #60923

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