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Giải bài 3 trang 111 vở thực hành Toán 8 tập 2

Nhà bạn Thu có một đèn trang trí có dạng hình chóp tam giác đều như Hình 10.5. Các cạnh của hình chóp đều bằng nhau và bằng 20 cm.

☂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

⛄Nhà bạn Thu có một đèn trang trí có dạng hình chóp tam giác đều như Hình 10.5. Các cạnh của hình chóp đều bằng nhau và bằng 20 cm. Bạn Thu dự định sẽ dán các mặt bên của đèn bằng những tấm giấy màu. Tính diện tích giấy bạn Thu sử dụng (coi như mép dán không đáng kể). Cho biết \(\sqrt {300}  \approx 17,32\).

Phương pháp giải - Xem chi tiết

- Tính chiều cao của đèn. - Tính diện tích của một mặt bên - Tính diện tích các mặt bên

Lời giải chi tiết

✃(H.10.6) AI = 10 cm. \(\Delta SAI\) vuông tại I nên theo định lí Pythagore ta có:

SI2 + IA2 = SA2

SI2 + 102 = 202

SI2 = 202 – 102 = 300

Suy ra \(SI = \sqrt {300} \)

Diện tích xung quanh của hình chóp là:

ꦦ\({S_{xq}} = p.d = \frac{{20.3}}{2}.17,32 = 519,6\left( {c{m^2}} \right)\).

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