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What is the lateral area of a rectangular prism

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whose length is 8 cm, width is 6 cm, and height is 10 cm?

asked Mar 16, 2013 in ALGEBRA 2 by chrisgirl Apprentice

1 Answer

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Angular solid," I take it you mean rectangular prism.  The lateral area is made up of four rectangular faces.  (I'm assuming by "lateral" you're excluding the bases.)  The area of a rectangle is found to be the product of its 2 dimensions.  In this case, there are 2 height-width rectangles and two height-length rectangles.  This can be expressed as:

2hw + 2hl = 2h ( w + l ) (take factors 2h)

The length is l = 8cm

The width is w = 6cm

The height is h = 10cm

The lateral area of the rectangular prism  = 2h ( l + w )

Sustitute the values l = 8cm , w = 6cm  and h = 10cm

The lateral area of the rectangular prism  = 2(10) [ 8 + 6 ]

Simplify

The lateral area of the rectangular prism  = 20 [ 14 ]

There fore the lateral area of the rectangular prism  = 280 sqcm.

answered Mar 16, 2013 by diane Scholar

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