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Giải bài 5 (10.24) trang 103 vở thực hành Toán 7 tập 2

Một bể cá dạng hình hộp chữ nhật làm bằng kính (không có nắp) có chiều dài 80cm, chiều rộng 50cm, chiều cao 45cm. Mực nước ban đầu trong bể cao 35cm. a) Tính diện tích kính dùng để làm bể cá đó. b) Người ta cho vào bể một hòn đá trang trí chìm hẳn trong nước thì mực nước của bể dâng lên thành 37,5cm. Tính thể tích hòn đá.

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Đề bài

Một bể cá dạng hình hộp chữ nhật làm bằng kính (không có nắp) có chiều dài 80cm, chiều rộng 50cm, chiều cao 45cm. Mực nước ban đầu trong bể cao 35cm. a) Tính diện tích kính dùng để làm bể cá đó. b) Người ta cho vào bể một hòn đá trang trí chìm hẳn trong nước thì mực nước của bể dâng lên thành 37,5cm. Tính thể tích hòn đá.

Phương pháp giải - Xem chi tiết

a) Diện tích kính dùng để làm bể cá bằng diện tích xung quanh và diện tích một đáy của hình hộp chữ nhật có chiều dài 80cm, chiều rộng 50cm, chiều cao 45cm. b) + Tính chiều cao nước dâng lên khi cho đá vào. + Thể tích hòn đá bằng thể tích hình hộp chữ nhật có chiều cao 2,5cm, chiều dài 80cm và chiều rộng 50cm.

Lời giải chi tiết

a) Diện tích kính dùng để làm bể cá là: \(S = 2.\left( {80 + 50} \right).45 + 80.50 = 15\;700\left( {c{m^2}} \right)\). b) Chiều cao nước dâng lên sau khi cho hòn đá vào là: \(37,5 - 35 = 2,5\left( {cm} \right)\). Thể tích của hòn đá là \(V = 80.50.2,5 = 10\;000\left( {c{m^3}} \right)\).

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