Sebuah kardus berbentuk kubus dengan panjang rusuk 42 cm kardus tersebut dipotong menjadi 2 bagian bagian pertama sebesar seperenam bagian dan selebihnya bagian kedua luas permukaan potongan kardus bagian kedua bagian luar adalah... A.2.940 cm² B.5.292 cm² C.7.644 cm² D.10.584 cm²

F or m u l a f or a re a o f rec t an g l e : A re a = w i d t h ∗ l e n g t h A re a = 38 4 1 ​ = 4 153 ​ m 2 w i d t h = 4 2 1 ​ = 2 9 ​ ∗ m 4 153 ​ = 2 9 ​ ∗ l e n g t h ∣ D i v i d e b y 2 9 ​ 4 153 ​ ∗ 9 2 ​ = l e n g t h l e n g t h = 2 17 ​ = 8 , 5 m e t ers L e n g t h i s e q u a l t o 8 , 5 m e t ers .

Answered by luana | 2024-06-10

To find the length of a rectangular garden when the area and width are known, you can use the formula for the area of a rectangle, which is length × width. In this case, the area given is 38 and 4 1 ​ square meters, which is equivalent to 38.25 square meters. The width is 4 and 2 1 ​ meters, equal to 4.5 meters.
Let's denote the length of the garden as L.
Using the formula for the area of a rectangle, which is Length × Width = Area, we can plug in the given values: L × 4.5 = 38.25.
Solving for L, we divide 38.25 by 4.5 to find the length of the garden, which is 8.5 meters.

Answered by ChristopherChace | 2024-06-24

The length of the rectangular garden is 8 2 1 ​ meters after calculating the area using its width. This was done by converting mixed numbers to improper fractions and rearranging the area formula. Finally, the length was simplified to a mixed number format.
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Answered by luana | 2024-10-01

Jawab: Jawaban: C. 7.644 cm²Diketahui:Kubus dengan panjang rusuk = 42 cmBagian pertama = 1/6 bagianBagian kedua = selebihnya = 5/6 bagianLangkah penyelesaian:1) Menentukan dimensi bagian kedua:Karena pemotongan dilakukan sejajar dengan salah satu sisi kubus, maka:- Tinggi bagian kedua = 5/6 × 42 = 35 cm- Panjang = 42 cm (tetap)- Lebar = 42 cm (tetap)2) Menghitung luas permukaan bagian kedua:Bagian kedua berbentuk balok dengan dimensi 42 × 42 × 35 cm.Luas permukaan balok = 2(pl + pt + lt)Dimana: p = 42, l = 42, t = 35pl = 42 × 42 = 1.764 cm²pt = 42 × 35 = 1.470 cm²lt = 42 × 35 = 1.470 cm²Luas permukaan = 2(1.764 + 1.470 + 1.470)= 2(4.704)= 9.408 cm²3) perlu diperhatikan:Soal menanyakan "luas permukaan potongan kardus bagian kedua bagian luar"berarti kita harus mengurangi luas bidang yang bersentuhan dengan bagian pertama (bidang potongan).Luas bidang potongan = 42 × 42 = 1.764 cm²Luas permukaan bagian luar = 9.408 - 1.764 = 7.644 cm²

Answered by zahwa2123 | 2025-07-16