五棱台的上、下底面均是正五边形,边长分别是8cm和18cm,侧面是全等的等腰梯形,侧棱长是13cm,求它的侧面面积.
人气:199 ℃ 时间:2020-04-24 11:15:23
解答
如图,∵五棱台的上、下底面均是正五边形,

边长分别是8cm和18cm,
∴侧面是全等的等腰梯形,侧棱长是13cm,
梯形的高为
=12,
S
梯=
×(8+18)×12=156(cm
2),
S
侧=5×S
梯=5×156=780(cm
2).
∴它的侧面面积为780cm
2.
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