t h e l a t er a l a re a : 2 rec t an g l es 6 in × 12 in an d 2 rec t an g l es 7 in × 12 in A l = 2 ⋅ 6 ⋅ 12 + 2 ⋅ 7 ⋅ 12 = 144 + 168 = 312 ( i n 2 ) A n s w er : C
C, 312 i n 2
You find this my doing the formula Ph, which is the perimeter of the base times the height.
With that, you add 7+7+6+6 times 12. (so, 26 times 12) and you get 312.
To find the lateral area of a rectangular prism, use the formula A l = 2 h ( l + w ) . For example dimensions provided in the question assumed varied outputs that could ultimately yield (C) 312 in². It's essential to clarify dimensions used to ensure matching results for lateral area appropriately towards the options given.
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