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theodisb2568
09.04.2020 •
Mathematics
What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?
9,920 mm3
10,010 mm3
7,680 mm3
10,240 mm3
Solved
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Ответ:
The answer to your question is 10240 mm³
Step-by-step explanation:
Data
length of the base = 32 mm
length of the height = 34 mm
Formula
Volume of a pyramid = 1/3 x Area of the base x length of the height
Process
1.- Calculate the area of the base
Area = side x side
= 32 x 32
= 1024 mm²
2.- Find the height of the pyramid using the Pythagorean theorem
height² = 34² - 16²
height² = 1156 - 256
height² = 900
height = 30
3.- Calculate the volume of the pyramid
Volume = 1/3Area x height
= 1/3(1024 x 30)
= (30720)/3 mm³
= 10240 mm³
Ответ:
2x= -56
x= -28