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Giải bài 10.23 trang 124 SGK Toán 8 tập 2 - Kết nối tri thức

Một khối gỗ gồm đế là hình lập phương cạnh 9 cm và một hình chóp tứ giác đều. Tính thể tích khối gỗ.

🍌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

🍰Một khối gỗ gồm đế là hình lập phương cạnh 9 cm và một hình chóp tứ giác đều. Tính thể tích khối gỗ.

 

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

- Tính thể tích của khối chóp. - Tính thể tích của hình lập phương. Thể tích của khối gỗ bằng thể tích của khối chóp cộng với thể tích của hình lập phương

Lời giải chi tiết

Có chiều cao của cả khối gỗ là 9 cm, chiều cao của hình lập phương là 9 cm Do đó chiều cao của hình chóp tứ giác đều là: 19−9=10 (cm)

- Diện tích mặt đáy của hình chóp tứ giác đều là: 9.9=81 (cm2)

- Thể tích hình chóp là:  \(V = \frac{1}{3}.S.h = \frac{1}{3}.81.10 = 270\left( {c{m^3}} \right)\) - Thể tích hình lập phương là: V=9.9.9=729 \(\left( {c{m^3}} \right)\)

Vậy thể tích của khối gỗ là: 270+729= 999 (cm3)

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

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