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Cách tính diện tích xung quanh, diện tích toàn phần của hình hộp chữ nhật - Toán 5

1. Hình hộp chữ nhật là gì?

Hình hộp chữ nhật có:

- 6 mặt: 2 mặt đáy và 4 mặt bên đều là hình chữ nhật

- 8 đỉnh: đỉnh A, đỉnh B, đỉnh C, đỉnh D, đỉnh M, đỉnh N, đỉnh P, đỉnh Q.

- 12 cạnh: cạnh AB, cạnh BC, cạnh CD, cạnh DA, cạnh MN, cạnh NP, cạnh PQ, cạnh MQ, cạnh AM, cạnh BN, cạnh CP, cạnh DQ.

2. Cách tính diện tích xung quanh, diện tích toàn phần của hình hộp chữ nhật

a) Diện tích xung quanh
  • Diện tích xung quanh của hình hộp chữ nhật là tổng diện tích bốn mặt bên của hình hộp chữ nhật.
  • Muốn tính diện tích xung quanh của hình hộp chữ nhật ta lấy chu vi mặt đáy nhân với chiều cao (cùng đơn vị đo)
b) Diện tích toàn phần
Diện tích toàn phần của hình hộp chữ nhật là tổng diện tích xung quanh và diện tích hai đáy
Stoàn phần = Sxung quanh + Sđáy x 2

Bài toán 1: Cho hình hộp chữ nhật có chiều dài 20 cm, chiều rộng 15 cm và chiều cao 10 cm. Tính diện tích xung quanh, diện tích toàn phần của hình hộp chữ nhật.
Bài giải
Diện tích xung quanh của hình hộp chữ nhật là:
(20 + 15) x 2 x 10 = 700 (cm2)
Diện tích một mặt đát của hình hộp chữ nhật là:
20 x 15 = 300 (cm2)
Diện tích toàn phần của hình hộp chữ nhật là:
700 + 300 x 2 = 1 300 (cm2)
Đáp số: Diện tích xung quanh: 700 cm2
            Diện tích toàn phần: 1 300 cm2
 
Bài toán 2. Một căn phòng dạng hình hộp chữ nhật có chiều dài 6m, chiều rộng 48dm, chiều cao 4m. Người ta muốn quét vôi các bức tường xung quanh và trần của căn phòng đó. Hỏi diện tích cần quét vôi là bao nhiêu mét vuông, biết tổng diện tích các cửa bằng 12m2 (biết rằng chỉ quét vôi bên trong phòng)? Giải Đổi 48dm = 4,8m Diện tích xung quanh của căn phòng đó là:

(6 + 4,8) × 2 × 4 = 86,4 (m2)

Diện tích trần của căn phòng đó là:

6 × 4,8 = 28,8 (m2)

Diện tích cần quét vôi là:

86,4 + 28,8 – 12 = 103,2 (m2)

Đáp số: 103,2m2

 
 
 
 
 
 
 

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