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Giải bài 4 trang 51 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Cho hình hộp chữ nhật với chiều dài (3sqrt 5 ) cm, chiều rộng (sqrt 5 ) cm và thể tích (30sqrt 5 ) cm3 như Hình 1. Tính tổng độ dài các cạnh của hình hộp chữ nhật đó.

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Cho hình hộp chữ nhật với chiều dài \(3\sqrt 5 \) cm, chiều rộng \(\sqrt 5 \) cm và thể tích \(30\sqrt 5 \) cm3⛦ như Hình 1. Tính tổng độ dài các cạnh của hình hộp chữ nhật đó.

Phương pháp giải - Xem chi tiết

🧸Dựa vào: Thể tích hình hộp chữ nhật = dài.rộng.cao để tính chiều cao.

Lời giải chi tiết

Chiều cao h = \(\frac{{30\sqrt 5 }}{{3\sqrt 5 .\sqrt 5 }} = 2\sqrt 5 \) cm. Tổng độ dài các cạnh của hình hộp chữ nhật là \(4\left( {3\sqrt 5  + \sqrt 5  + 2\sqrt 5 } \right) = 24\sqrt 5 \) cm.

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