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Giải Bài 10.12 trang 65 sách bài tập toán 7 - Kết nối tri thức với cuộc sống

Một lăng kính thuỷ tinh có dạng hình lăng trụ đứng có đáy là tam giác đều, kích thước như trong Hình 10.9 a)Tính thể tích của lăng kính thuỷ tinh. b)Người ta làm một chiếc hộp bằng bìa cứng để đựng vừa khít lăng kính thuỷ tinh nói trên (hở hai đáy tam giác). Tính diện tích bìa cần dùng (bỏ qua mép nối).

ಌTổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Kết nối tri thức

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

Một lăng kính thuỷ tinh có dạng hình lăng trụ đứng có đáy là tam giác đều, kích thước như trong Hình 10.9 a)Tính thể tích của lăng kính thuỷ tinh. b)Người ta làm một chiếc hộp bằng bìa cứng để đựng vừa khít lăng kính thuỷ tinh nói trên (hở hai đáy tam giác). Tính diện tích bìa cần dùng (bỏ qua mép nối).

Phương pháp giải - Xem chi tiết

a)Thể tích: \(V = {S_{day}}.h\) b)Diện tích bìa cần dùng chính là diện tích xung quanh hình lăng trụ đứng.

Lời giải chi tiết

a) Diện tích đáy của lăng kính là: \(S = \dfrac{1}{2}.3.2,6 = 3,9\left( {c{m^2}} \right)\) Thể tích lăng kính thuỷ tinh là: \(V = S.h = 3,9.10 = 39\left( {c{m^3}} \right)\) b) Chu vi đáy là: C = 3 + 3 + 3 = 9 (cm) Diện tích bìa cứng cần dùng là: \({S_{xp}} = {C_{day}}.h = 9.10 = 90\left( {c{m^2}} \right)\) 

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