What do you mean "how many"? Like how many different rotations can you do and it'll be the same or just symmetries in general?
Answer:
- total area is the total of the areas of each of the rectangular surfaces
- 67 units²
Step-by-step explanation:
Add up the surface areas of each of the 6 faces.
There are two top/bottom faces with the same area, two left/right faces with the same area, and two front/back faces with the same area. So you only need to figure the areas for 3 faces, then multiply that sum by 2. Of course the area of each rectangle is the product of its length and width. For length, width, and height dimensions L, W, and H, the total area is ...
A = 2(LW +WH +LH)
= 2(LW +H(L+W)) . . . . . I like this form because there's one less multiplication
= 2(5·4 + 1.5(5+4)) = 2(20 +13.5)
A = 67 . . . units²
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<em>Comment on dimensions</em>
It does not matter which number you use for length, width, or height. The problem is symmetrical that way, so any of the dimensions can be called any of those things. You need to use the same number consistently for height (for example) once you have made the choice of which is which.
Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source
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