Latihan Ukk Kelas VIII Tahap 2

Explanation
The correct answer is 5 because there are five square pyramids shown in the picture.

Explanation
The correct answer is "persegipanjang" because a rectangular prism, or balok, has two pairs of parallel and congruent rectangular faces. The diagonal of one of these rectangular faces is a line segment that connects two nonadjacent vertices of the face, forming a diagonal. Since a rectangular prism has four rectangular faces, it has four diagonals, each forming a rectangle. Therefore, the shape of the diagonal of a rectangular prism is a rectangle, which is represented by a "persegipanjang" in Indonesian.

Explanation
The correct answer is 15 buah. This is because when we count the number of sides or edges in the given image, we can see that there are a total of 15 edges present.

Explanation
The given figure is a rectangular prism with dimensions KL = 16 cm, LM = 12 cm, and KO = 5 cm. The diagonal LNRP can be found by using the Pythagorean theorem. The length of LN can be found by finding the hypotenuse of the right triangle KLN, which is √(KL^2 + LN^2). Since KL = 16 cm and KO = 5 cm, LN can be found as √(16^2 + 5^2) = √(256 + 25) = √281. The area of the diagonal LNRP can be found by multiplying the length LN with the width RP, which is √281 * 12 = 120. Therefore, the correct answer is 120.

Explanation
Based on the given information, we know that the surface area of the rectangular board is 248. The ratio of length, width, and height is given as 5:3:2. To find the thickness of the board, we need to subtract the thickness from the length, width, and height. Let's assume the thickness of the board is x cm.

So, the length of the board will be 5x cm, the width will be 3x cm, and the height will be 2x cm.

The surface area of the rectangular board can be calculated using the formula 2lw + 2lh + 2wh.

Substituting the given values, we get:

2(5x)(3x) + 2(5x)(2x) + 2(3x)(2x) = 248

Simplifying the equation, we get:

30x^2 + 20x^2 + 12x^2 = 248

62x^2 = 248

Dividing both sides by 62, we get:

x^2 = 4

Taking the square root of both sides, we get:

x = 2

Therefore, the thickness of the board is 2 cm.

Explanation
If the surface of the object is painted, the number of unit cubes with one side painted is 24.

Explanation
The volume of a prism is calculated by multiplying the area of the base by the height. In this case, the base of the prism is a rhombus with one diagonal measuring 10 cm. The formula to calculate the area of a rhombus is (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. However, since only one diagonal is given, we need to find the other diagonal. Using the given information that the perimeter of the base is 52 cm, we can calculate the length of each side of the rhombus as 52 / 4 = 13 cm. By applying the Pythagorean theorem, we can find the length of the other diagonal as √(10^2 - 13^2) = √(100 - 169) = √(-69), which is not a real number. Therefore, the question is incomplete and an explanation cannot be generated.

Explanation
The volume of a pyramid is one-third of the volume of a cube with the same base. In this case, the volume of the pyramid T.ABCD is one-third of the volume of the cube ABCD.EFGH. Therefore, the correct answer is 1: 3.

Explanation
The number of diagonal planes in a hexagonal pyramid is 9. A hexagonal pyramid has a hexagonal base and six triangular faces. Each triangular face can be considered as a diagonal plane. Therefore, there are 6 diagonal planes from the triangular faces. Additionally, there are 3 more diagonal planes that can be formed by connecting the apex of the pyramid to each of the three non-adjacent vertices of the base. Hence, the total number of diagonal planes in a hexagonal pyramid is 9.

Explanation
To form a cube net, the squares that need to be removed should be opposite each other. In the given sequence, squares 4 and 8 are opposite each other, so they should be removed to form a cube net.

Explanation
The correct answer is not provided, so an explanation cannot be generated.

Explanation
The given information states that the length of the diagonal of the cube is 10 cm. In a cube, the length of the diagonal is equal to the square root of 3 times the length of one side. Therefore, we can calculate the length of one side of the cube by dividing the length of the diagonal by the square root of 3. In this case, the length of one side of the cube is approximately 5.77 cm. The volume of a cube is calculated by cubing the length of one side. So, the volume of this cube would be approximately 1000 cubic cm.

Explanation
The correct answer is 340. The surface area of a trapezoidal prism can be calculated by adding the areas of the two bases and the areas of the four lateral faces. Since the trapezium is isosceles, the areas of the two bases are equal. Therefore, to find the surface area, we only need to calculate the area of one base and multiply it by 2. The area of the trapezium base can be found by using the formula (a + b) * h / 2, where a and b are the lengths of the parallel sides of the trapezium and h is the height of the trapezium. Plugging in the given values, we get (10 + 20) * 8 / 2 = 30 * 8 / 2 = 240 / 2 = 120. Multiplying this by 2, we get 120 * 2 = 240. Adding the areas of the four lateral faces, each of which is a rectangle with a base of 30 and a height of 8, we get 240 + (30 * 8 * 4) = 240 + 960 = 1200. Therefore, the surface area of the trapezoidal prism is 1200.

Explanation
The volume of a pyramid is given by the formula V = (1/3) * base area * height. In this case, the base area is given as 100 cm^2 and the volume is given as 400 cm^3. By rearranging the formula, we can solve for the height: height = (3 * volume) / base area = (3 * 400 cm^3) / 100 cm^2 = 12 cm. Therefore, the height of the pyramid is 12 cm.

Explanation
The given toy is in the shape of a rectangular prism. The area of the base of the toy is 700 cm2, and the height is given as 10 cm. We can use the formula for the volume of a rectangular prism, which is length x width x height. We are given the width as 5 cm. By rearranging the formula, we can solve for the length. Dividing the area of the base by the product of the width and height, we get the length as 20 cm.

Explanation
The given answer, 3000, is the correct answer because it is the only option that is a multiple of 720, 1440, and 2160. Since the question asks for the volume of a certain object, it is likely that the volume is a larger number, and 3000 is the largest number among the given options.

Explanation
The surface area of a prism can be calculated by finding the sum of the areas of all its faces. In this case, the prism has two triangular faces and three rectangular faces. The area of each triangular face can be calculated using the formula 1/2 * base * height. The base of each triangular face is given by the length of the shorter side of the right triangle, which is 6 cm. The height of each triangular face is given by the length of the longer side of the right triangle, which is 8 cm. Therefore, the area of each triangular face is 1/2 * 6 cm * 8 cm = 24 cm². The total area of the two triangular faces is 2 * 24 cm² = 48 cm². The area of each rectangular face can be calculated by multiplying the length and width of the face. The length of each rectangular face is given by the length of the longer side of the right triangle, which is 8 cm. The width of each rectangular face is given by the height of the prism, which is 20 cm. Therefore, the area of each rectangular face is 8 cm * 20 cm = 160 cm². The total area of the three rectangular faces is 3 * 160 cm² = 480 cm². Adding the areas of the triangular and rectangular faces, we get a total surface area of 48 cm² + 480 cm² = 528 cm². Therefore, the correct answer is 528.

Explanation
The correct answer is 2( pt +lt) + pl. This is because the formula for finding the surface area of a rectangular prism without the top is 2(pl + pt). In this case, the formula is modified by adding the area of the bottom face, which is pl. Therefore, the correct formula becomes 2(pt + lt) + pl.