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lidiya [134]
3 years ago
5

The formula for the surface area of a right rectangular prism is A  2lw  2hw  2lh, where l, w, and h represent the length, wi

dth, and height, respectively. Which term of this formula is not dependent on the height?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

The term 2lw is independent of the height

Step-by-step explanation:

This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.

2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.

The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.

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We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

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