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Giải bài 10.24 trang 124 SGK Toán 8 tập 2 - Kết nối tri thức

Bạn Trang cắt miếng bìa hình tam giác đều cạnh dài 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

Bạn Trang cắt miếng bìa hình tam giác đều cạnh dài 20 cm và gấp lại theo các dòng kẻ (nét đứt) để được hình chóp tam giác đều. Tính diện tích xung quanh của hình chóp tam giác đều tạo thành. Cho biết \(\sqrt {75}  \approx 8,66\)

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

🍸- Các mặt bên của hình chóp là tam giác giác đều cạnh là 10 cm => Tính đường cao trong một mặt tam giác

- Tính nửa chu vi mặt đáy. - Tính diện tích xung quanh của hình chóp tam giác đều

Lời giải chi tiết

Các mặt bên của hình chóp là tam giác giác đều cạnh là 10 cm => Đường cao trong một mặt tam giác là: \(\sqrt {{{10}^2} - {5^2}}  = \sqrt {75}  \approx 8,66\) cm Các nét đứt tạo thành mặt đáy của hình chóp tam giác đều có cạnh là 10 cm => Nửa chu vi mặt đáy là:  \(\frac{1}{2}.\left( {10 + 10 + 10} \right) = 15\left( m \right)\) Vậy diện tích xung quanh là: \(S_{xq}=p.d=15.8,66=129,9 (c{m^2})\)
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