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Giải bài 10.13 trang 122 SGK Toán 8 tập 2 - Kết nối tri thức

Tính thể tích hình chóp tam giác đều A.BCD,

♔Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

💧Tính thể tích hình chóp tam giác đều A.BCD, biết \(\sqrt {75}  = 8,66\)

 

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

- Tính diện tích đáy tam giác BCD. - Tính thể tích của hình chóp

Lời giải chi tiết

- Xét tam giác BID vuông tại I, có

\(ID^2 = BD^2 - BI^2 = {10^2} - {5^2} = 75\)

suy ra \(ID = \sqrt {75}  = 8,66\) (cm)

- Diện tích tam giác BCD là:

🌳\(S_{BCD} = \frac{1}{2}.ID.BC = \frac{1}{2}.8,66.10 = 43,3\left( {c{m^2}} \right)\)

- Thể tích hình chóp là: 

♒\(V = \frac{1}{3}.S.h = \frac{1}{3}.43,3.12 \approx 173,2(c{m^3})\)

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Tham Gia Group Dành Cho Lớp 8 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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