Latihan Soal Operasi Hitung Pangkat Tiga

1. 4³ + 7³ = 406

True

False

not-available-via-ai

Explanation

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2. Firaz dibelikan ayah kue bolu berbentuk kubus dengan rusuk 6 cm. Kemudian bundanya membelikan kue bolu kubus lagi dengan rusuk 5 cm. Volume kedua kue bolu Firaz adalah ... cm³.

340

341

342

343

The volume of a cube can be found by cubing the length of its side. In this case, the first cake has a side length of 6 cm, so its volume is 6^3 = 216 cm^3. The second cake has a side length of 5 cm, so its volume is 5^3 = 125 cm^3. To find the total volume of both cakes, we add the volumes together: 216 cm^3 + 125 cm^3 = 341 cm^3. Therefore, the correct answer is 341.

Explanation

The volume of a cube can be found by cubing the length of its side. In this case, the first cake has a side length of 6 cm, so its volume is 6^3 = 216 cm^3. The second cake has a side length of 5 cm, so its volume is 5^3 = 125 cm^3. To find the total volume of both cakes, we add the volumes together: 216 cm^3 + 125 cm^3 = 341 cm^3. Therefore, the correct answer is 341.

3. 11³ x 12³ = 3049

True

False

not-available-via-ai

Explanation

not-available-via-ai

4. Sayyaf membeli 2 buah rubik. Rubik pertama rusuknya 3 cm. Rubik kedua rusuknya 4 cm. Berapakah volume kedua rubik Sayyaf?

91

92

93

94

The volume of a cube can be calculated by multiplying the length of one side by itself twice. In this case, the first rubik has a side length of 3 cm, so its volume is 3 cm * 3 cm * 3 cm = 27 cm^3. The second rubik has a side length of 4 cm, so its volume is 4 cm * 4 cm * 4 cm = 64 cm^3. Therefore, the volume of the second rubik is 64 cm^3.

Explanation

The volume of a cube can be calculated by multiplying the length of one side by itself twice. In this case, the first rubik has a side length of 3 cm, so its volume is 3 cm * 3 cm * 3 cm = 27 cm^3. The second rubik has a side length of 4 cm, so its volume is 4 cm * 4 cm * 4 cm = 64 cm^3. Therefore, the volume of the second rubik is 64 cm^3.

5. 8³ - 5³ = 387.

True

False

The given equation 83 - 53 does not equal 387. Therefore, the answer "True" is incorrect.

Explanation

The given equation 83 - 53 does not equal 387. Therefore, the answer "True" is incorrect.

6. Di rumah, Zaka mempunyai banyak rubik hadiah dari ayahnya karena rajin belajar. Ukuran rubik itu adalah sama, yakni dengan rusuk 10 cm. Kemudian, Zaka ingin memasukkannya ke dalam kotak besar berbentuk kubus yang mempunyai sisi 0,9 m. Jumlah rubik Zaka agar kotak penyimpanan penuh adalah .... kotak.

279

729

689

829

Zaka wants to put the rubiks cubes into a large cube-shaped box with sides measuring 0.9m. To find out how many rubik's cubes can fit in the box, we need to calculate the volume of the box and the volume of one rubik's cube. The volume of the box is calculated by multiplying the length of one side by itself three times (0.9m x 0.9m x 0.9m = 0.729m³). The volume of one rubik's cube is calculated by multiplying the length of one side by itself three times (0.1m x 0.1m x 0.1m = 0.001m³). To find out how many rubik's cubes can fit in the box, we divide the volume of the box by the volume of one rubik's cube (0.729m³ / 0.001m³ = 729). Therefore, the correct answer is 729 rubik's cubes.

Explanation

Zaka wants to put the rubiks cubes into a large cube-shaped box with sides measuring 0.9m. To find out how many rubik's cubes can fit in the box, we need to calculate the volume of the box and the volume of one rubik's cube. The volume of the box is calculated by multiplying the length of one side by itself three times (0.9m x 0.9m x 0.9m = 0.729m³). The volume of one rubik's cube is calculated by multiplying the length of one side by itself three times (0.1m x 0.1m x 0.1m = 0.001m³). To find out how many rubik's cubes can fit in the box, we divide the volume of the box by the volume of one rubik's cube (0.729m³ / 0.001m³ = 729). Therefore, the correct answer is 729 rubik's cubes.

7. 21³ - 10³ = ... .

8621

8161

6821

8261

The correct answer is 8261 because when subtracting 103 from 213, we subtract each digit individually starting from the right. 3 minus 1 equals 2, 1 minus 0 equals 1, and 2 minus 1 equals 1. Therefore, the result is 8261.

Explanation

The correct answer is 8261 because when subtracting 103 from 213, we subtract each digit individually starting from the right. 3 minus 1 equals 2, 1 minus 0 equals 1, and 2 minus 1 equals 1. Therefore, the result is 8261.

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9. Kardus-kardus mie instan berbentuk kubus ditumpuk digudang penyimpanan membentuk formasi kubus. Jumlah kardus dalam setiap sisi adalah 8 kardus, sedangkan setiap kardus rusuknya 0,5 m. Volume sususunan kardus-kardus itu adalah ... m³.

125

84

64

44

The given question describes a scenario where instant noodle boxes are stacked in a cubic formation in a storage warehouse. It states that there are 8 boxes on each side of the cube and each box has a side length of 0.5 m. To find the volume of the cube, we need to calculate the total number of boxes in the cube and then multiply it by the volume of each box. Since there are 8 boxes on each side of the cube, the total number of boxes in the cube is 8 x 8 x 8 = 512. Since each box has a side length of 0.5 m, the volume of each box is 0.5 x 0.5 x 0.5 = 0.125 m³. Therefore, the volume of the cube made up of these boxes is 512 x 0.125 = 64 m³.

Explanation

The given question describes a scenario where instant noodle boxes are stacked in a cubic formation in a storage warehouse. It states that there are 8 boxes on each side of the cube and each box has a side length of 0.5 m. To find the volume of the cube, we need to calculate the total number of boxes in the cube and then multiply it by the volume of each box. Since there are 8 boxes on each side of the cube, the total number of boxes in the cube is 8 x 8 x 8 = 512. Since each box has a side length of 0.5 m, the volume of each box is 0.5 x 0.5 x 0.5 = 0.125 m³. Therefore, the volume of the cube made up of these boxes is 512 x 0.125 = 64 m³.

10. Archer membeli balok kayu berbentuk kubus dengan rusuk 20 cm. Kemudian dia memotongnya sepanjang 5 cm. Volume balok kayu Archer sekarang adalah ... cm³.

When Archer buys a wooden cube with a side length of 20 cm, the initial volume of the cube is calculated by multiplying the length, width, and height, which are all 20 cm. The resulting volume is 8000 cm3. However, Archer then cuts off a 5 cm section from one side of the cube. This reduces the length of each side to 15 cm. To calculate the new volume, we multiply the new side length by itself three times (15 x 15 x 15), which equals 3375 cm3. Therefore, the correct answer is 3375 cm3.

Explanation

When Archer buys a wooden cube with a side length of 20 cm, the initial volume of the cube is calculated by multiplying the length, width, and height, which are all 20 cm. The resulting volume is 8000 cm3. However, Archer then cuts off a 5 cm section from one side of the cube. This reduces the length of each side to 15 cm. To calculate the new volume, we multiply the new side length by itself three times (15 x 15 x 15), which equals 3375 cm3. Therefore, the correct answer is 3375 cm3.

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