1.
Sebuah kubus dengan ukuran panjang tiap rusuknya 27 cm. Volume kubus tersebut adalah ... cm^{3}
Correct Answer
D. 19.683
Explanation
The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the length of each side of the cube is given as 27 cm. Therefore, the volume of the cube can be calculated as 27 cm * 27 cm * 27 cm = 19,683 cm3.
2.
Sebuah kubus memiliki volume 9.621 cm^{3}. Panjang rusuknya adalah ... cm
Correct Answer
B. 21
Explanation
The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the volume of the cube is given as 9.621 cm3. To find the length of one side, we need to find the cube root of the volume. The cube root of 9.621 is approximately 2.17 cm. Since the options provided are in whole numbers, we round up to the nearest whole number, which is 3. Therefore, the length of one side of the cube is 3 cm. None of the given answer options match this result, so the correct answer is not provided.
3.
Sebuah kubus mempunyai luas alas 256 cm^{2}. Volume kubus tersebut adalah ... cm^{3}
Correct Answer
C. 4.096
Explanation
The volume of a cube can be calculated by multiplying the area of the base (luas alas) by the length of one side. In this case, the area of the base is given as 256 cm2. To find the length of one side, we need to take the square root of the area. The square root of 256 is 16. Therefore, the length of one side is 16 cm. To find the volume, we cube the length of one side, which is 16 x 16 x 16 = 4,096 cm3.
4.
Volume bangun di atas adalah ... cm^{3}
Correct Answer
D. 1.728
Explanation
The given answer, 1.728, is the volume of the solid figure mentioned in the question.
5.
Volume bangun tersebut adalah ... kubus satuan
Correct Answer
C. 192
Explanation
The given question is asking for the volume of a certain object, and the correct answer is 192. However, without any additional context or information, it is not possible to determine what specific object or shape is being referred to. Therefore, an explanation for the correct answer is not available.
6.
Sebuah balok memiliki ukuran panjang 20 cm, sedangkan lebar 15 cm, tinggi 1/3 kali lebarnya. Volume bangun tersebut adalah ... cm^{3}.
Correct Answer
A. 1.500
Explanation
The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the length is 20 cm, the width is 15 cm, and the height is 1/3 of the width. Therefore, the height is 15 cm * 1/3 = 5 cm. Multiplying the length, width, and height together gives us 20 cm * 15 cm * 5 cm = 1500 cm3.
7.
Berapakah jumlah kubus satuan pada gambar diatas....
Correct Answer
C. 125
Explanation
The correct answer is 125 because in the given picture, there are 5 rows, 5 columns, and 5 layers of unit cubes. Each layer contains 25 cubes, and since there are 5 layers, the total number of unit cubes is 25 x 5 = 125.
8.
Jika sebuah balok memiliki volume 480 cm^{3} dan luas alas balok tersebut adalah 60 cm^{2}. Tinggi balok tersebut adalah ... cm
Correct Answer
A. 8
Explanation
The volume of a rectangular prism is calculated by multiplying the length, width, and height of the prism. In this case, we are given that the volume of the rectangular prism is 480 cm3 and the area of the base is 60 cm2. To find the height of the prism, we can divide the volume by the area of the base. 480 cm3 divided by 60 cm2 is equal to 8 cm. Therefore, the height of the rectangular prism is 8 cm.
9.
Jika volume sebuah kubus adalah 4.096 cm^{3}, maka rusuknya adalah ....
Correct Answer
B. 16
Explanation
The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the volume of the cube is given as 4,096 cm3. To find the length of one side (the cube's edge), we need to find the cube root of the volume. The cube root of 4,096 is 16, which means that each side of the cube is 16 cm long. Therefore, the correct answer is 16.
10.
Diketahui sebuah tinggi balok 20 cm, lebarnya 8 cm dan panjangnya 8 cm, maka volumenya adalah. . . cm^{3}.
Correct Answer
A. 1.280
Explanation
The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the length is 8 cm, the width is 8 cm, and the height is 20 cm. Therefore, the volume is 8 cm x 8 cm x 20 cm = 1,280 cm3.
11.
Berapakah volume balok di atas?
Correct Answer
A. 864 cm^{3}
Explanation
The volume of a rectangular prism (balok) is calculated by multiplying its length, width, and height. In this case, since the question does not provide the dimensions of the balok, we cannot determine the volume. Therefore, an explanation cannot be provided.
12.
Bak tampungan air di rumah paman berbentuk balok dengan volume 528 m^{3}. Jika panjang bak mandi adalah 11 m dan lebar 6 m, berapa tinggi bak tampungan air?
Correct Answer
B. 8 m
Explanation
The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the volume is given as 528 m3, and the length and width of the tank are given as 11 m and 6 m respectively. To find the height, we can rearrange the formula to solve for height: volume = length * width * height. Plugging in the given values, we have 528 = 11 * 6 * height. Solving for height, we get height = 528 / (11 * 6) = 8 m. Therefore, the height of the water tank is 8 m.
13.
Volume sebuah balok sama dengan empat kali volume kubus yang panjang rusuknya 5 cm. Jika ukuran panjang dan lebar balok berturut-turut 10 cm dan 5 cm, maka tinggi balok adalah ... cm
Correct Answer
D. 10
Explanation
The volume of a rectangular prism is equal to the product of its length, width, and height. In this question, we are given that the volume of the rectangular prism is four times the volume of a cube with a side length of 5 cm. Since the length and width of the rectangular prism are given as 10 cm and 5 cm respectively, we can find the height by dividing the volume by the product of the length and width. This gives us a height of 10 cm.
14.
Berapakah jumlah rusuk yang dimiliki kubus?
Correct Answer
C. 12
Explanation
A cube is a three-dimensional shape with six equal square faces. Each face of the cube is a side, and there are four sides on the top and bottom, and two sides on the front and back. Therefore, the cube has a total of 12 edges.
15.
Jumlah titik sudut pada kubus adalah . . .
Correct Answer
C. 8
Explanation
A cube has 6 faces, and each face has 4 corners. Therefore, the total number of corners in a cube is 6 multiplied by 4, which equals 24. However, each corner is shared by 3 faces, so we need to divide the total number of corners by 3 to avoid counting them multiple times. 24 divided by 3 equals 8, which is the correct answer.
16.
Berikut ini merupakan sifat - sifat kubus yang tidak dimiliki oleh balok adalah...
Correct Answer
A. Memiliki 12 rusuk sama panjang
Explanation
The correct answer is "memiliki 12 rusuk sama panjang". A cube has 12 edges, but a rectangular prism (balok) does not necessarily have 12 edges of equal length.
17.
Jika panjang rusuk suatu kubus = r, maka volume kubus tersebut dirumuskan ....
Correct Answer
B. V_{KUBUS} = r^{3}
Explanation
The correct answer is VKUBUS = r3. The volume of a cube is calculated by raising the length of its side to the power of 3. In this case, the length of the side is represented by r, so the volume is r3.
18.
Tiga buah kubus yang masing-masing volumenya 125 cm^{3}, 512 cm^{3}, dan 729 cm^{3 }ditumpuk ke atas. Tinggi tumpukan ketiga kubus tersebut adalah ... cm
Correct Answer
B. 22
Explanation
The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the volumes of the three cubes are given as 125 cm3, 512 cm3, and 729 cm3. By finding the cube root of each volume, we can determine the length of one side of each cube. The cube root of 125 is 5, the cube root of 512 is 8, and the cube root of 729 is 9. Therefore, the heights of the three cubes when stacked on top of each other would be 5 cm, 8 cm, and 9 cm. Adding these heights together, we get a total height of 22 cm.
19.
Pada sebuah balok yang berukuran panjang 15 cm, lebar 10 cm dan tinggi 5 cm dimasukkan kubus yang panjang rusuknya 5 cm. Kubus yang bisa dimasukkan sebanyak ....
Correct Answer
C. 6
Explanation
The volume of the cube is given by the formula V = s^3, where s is the length of the side of the cube. In this case, the side length of the cube is 5 cm. The volume of the cube is therefore 5^3 = 125 cm^3.
To find out how many cubes can fit into the given rectangular block, we need to divide the volume of the block by the volume of the cube. The volume of the block is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the block. In this case, the length is 15 cm, the width is 10 cm, and the height is 5 cm. The volume of the block is therefore 15 * 10 * 5 = 750 cm^3.
To find out how many cubes can fit into the block, we divide the volume of the block by the volume of the cube: 750 cm^3 / 125 cm^3 = 6 cubes. Therefore, the correct answer is 6.
20.
Sebuah balok berukuran panjang 20 cm, lebar 12 cm, dan tingginya 10 cm. Balok tersebut berisi air setengah bagian. Banyak air pada balok tersebut adalah ... cm^{3}.
Correct Answer
A. 1.200
Explanation
The volume of a rectangular prism (balok) can be calculated by multiplying its length, width, and height. In this case, the length is 20 cm, the width is 12 cm, and the height is 10 cm. So, the volume of the balok is 20 cm x 12 cm x 10 cm = 2,400 cm3. However, the balok is only filled with half of its volume, so the amount of water in the balok is 2,400 cm3 / 2 = 1,200 cm3.