Find the pyramid volume

2013-01-18 12:50 am
The height of pyramid VABCD is 6 cm and its base is a square. If the slant edge
of the pyramid is 8 cm, find the pyramid volume.
VABCD 四角錐體的高度是 6 釐米,其底是一個正方形。四角錐體的斜棱是 8 釐米,求四角錐體體積。

回答 (4)

2013-01-19 4:39 am
✔ 最佳答案
正方形半對角線長 = √(8^2 - 6^2) = √28

全對角線長 = 2√28

設正方形邊長x

√(x^2 + x^2) = 2√28

2x^2 = 112

x = √56

四角錐體體積 = (1/3) * √56 * √56 * 6 = 112 立方釐米
2013-01-18 6:39 pm
Hint: Pyth. Thm. x 2 times
2013-01-18 1:01 am
OK
........
2013-01-18 12:52 am
Hint: Pyth. Thm.


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