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ammarsico19
22.07.2021 •
Mathematics
Which graph represents this table of an arithmetic sequence?
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Ответ:
Ответ:
Part A - 9 cm; Part B - 1836 cm²
Step-by-step explanation:
Part A: The volume of a triangular prism is given by the area of the base (area of the triangle) multiplied by the length of the box. To find the area of a triangle, we use the formula A = 1/2bh; this gives us
V = 1/2bhl
Using the information we have gives us
3240 = 1/2(24)(h)(30)
3240 = 360h
Divide both sides by 360:
3240/360 = 360h/360
9 = h
Part B: We are looking for the surface area of this prism.
There are two triangular sides, each with a base of 24 and a height of 9. Their areas are:
A = 1/2bh = 1/2(24)(9) = 108 sq cm each. For two of them, this makes
108(2) = 216 sq cm
There are two rectangular sides whose dimensions are 15 by 30; their areas are
A = 15(30) = 450. For two of them, this makes
450(2) = 900 sq cm.
There is one rectangular side whose dimensions are 30 by 24. Its area is
A = 30(24) = 720 sq cm.
This makes the total surface area
216+900+720 = 1836 sq cm.