Soal Ulangan Harian Volume

1. Luas alas dari tabung yang volumenya 12.500 dm³ dan tinggi 50 dm adalah …

a. 260 dm³

b. 270 dm³

c. 250 dm³

d. 220 dm³

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder. In this question, the volume is given as 12,500 dm^3 and the height is given as 50 dm. To find the radius, we can rearrange the formula as r^2 = V/(πh). Plugging in the given values, we get r^2 = 12,500/(π*50). Solving for r, we find that r = √(12,500/(π*50)). Once we have the radius, we can calculate the area of the base using the formula A = πr^2. Plugging in the value of r, we get A = π*(√(12,500/(π*50)))^2. Simplifying this expression, we find that A ≈ 250 dm^2. Therefore, the correct answer is c. 250 dm^3.

Explanation

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder. In this question, the volume is given as 12,500 dm^3 and the height is given as 50 dm. To find the radius, we can rearrange the formula as r^2 = V/(πh). Plugging in the given values, we get r^2 = 12,500/(π*50). Solving for r, we find that r = √(12,500/(π*50)). Once we have the radius, we can calculate the area of the base using the formula A = πr^2. Plugging in the value of r, we get A = π*(√(12,500/(π*50)))^2. Simplifying this expression, we find that A ≈ 250 dm^2. Therefore, the correct answer is c. 250 dm^3.

2. Volume prisma yang mempunyai luas alas 154 cm² dan tinggi 10 cm adalah ….

a. 15, 4 dm³

b. 1, 54 m³

c. 1540 cm³

d. 1540 dm³

The volume of a prism can be calculated by multiplying the area of the base by the height. In this case, the area of the base is given as 154 cm² and the height is given as 10 cm. By multiplying these two values together, we get the volume of the prism, which is 1540 cm³. Therefore, the correct answer is c. 1540 cm³.

Explanation

The volume of a prism can be calculated by multiplying the area of the base by the height. In this case, the area of the base is given as 154 cm² and the height is given as 10 cm. By multiplying these two values together, we get the volume of the prism, which is 1540 cm³. Therefore, the correct answer is c. 1540 cm³.

3. Atap rumah Andi berbentuk prisma segiempat yang panjangnya 20 m, lebarnya 8 m dan tinggi 2 m. Volume atap rumah tersebut adalah ….

a. 168 m³

b. 160 m³

c. 320 m³

d. 90 dm³

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the roof is 20 m, the width is 8 m, and the height is 2 m. Therefore, the volume of the roof is 20 m x 8 m x 2 m = 320 m³.

Explanation

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the roof is 20 m, the width is 8 m, and the height is 2 m. Therefore, the volume of the roof is 20 m x 8 m x 2 m = 320 m³.

4. Volume bangun di samping adalah...

a. 15.200cm³

b. 13.200 cm³

c. 15.400 cm³

d. 13.230 cm³

Option 5

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Explanation

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5. Volume sebuah tabung yang memiliki jari-jari 14 ²dm dan tinggi 20 dm adalah ….

a. 12320 dm³

b. 13230 dm³

c. 1320dm³

d. 1230 dm³

The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height. In this case, the radius is given as 14^2 dm and the height is given as 20 dm. Plugging these values into the formula, we get V = π(14^2)(20) dm^3. Solving this equation, we find that the volume is 12320 dm^3. Therefore, the correct answer is a. 12320 dm^3.

Explanation

The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height. In this case, the radius is given as 14^2 dm and the height is given as 20 dm. Plugging these values into the formula, we get V = π(14^2)(20) dm^3. Solving this equation, we find that the volume is 12320 dm^3. Therefore, the correct answer is a. 12320 dm^3.

6. Di ketahui sebuah volume kubus adalah 1331 cm³ tapi panjang dari rusuk kubus tersebut belum ada , maka kalian harus mencari berapa kah panjang rusuk dari kubus tersebut?

a. 11 cm

b. 12 cm

c. 13 cm

d. 14 cm

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 1331 cm3. To find the length of one side, we need to find the cube root of 1331. The cube root of 1331 is 11, so the length of one side of the cube is 11 cm. Therefore, the correct answer is a. 11 cm.

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 1331 cm3. To find the length of one side, we need to find the cube root of 1331. The cube root of 1331 is 11, so the length of one side of the cube is 11 cm. Therefore, the correct answer is a. 11 cm.

7.

Untuk mencari tinggi prisma digunakan rumus ….

a. Volume : alas prisma

b. Volume : luas alas

c. Volume : tinggi alas

d. Volume : keliling alas

The correct answer is b. Volume : luas alas. The formula to find the volume of a prism is to multiply the area of the base by the height of the prism. Therefore, the volume of a prism is calculated by finding the area of the base and multiplying it by the height.

Explanation

The correct answer is b. Volume : luas alas. The formula to find the volume of a prism is to multiply the area of the base by the height of the prism. Therefore, the volume of a prism is calculated by finding the area of the base and multiplying it by the height.

8. Sebuah kaleng berbentuk tabung dengan jari-jarinya adalah 20 cm dan tinggi 30 cm. Volume air yang dapat dimasukkan ke dalam kaleng adalah ….

a. 37.680 dm³

b. 37.620 cm³

c. 37.640dm³

d. 37.680 cm³

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. In this case, the radius is given as 20 cm and the height is given as 30 cm. Plugging these values into the formula, we get V = π(20^2)(30) = 37,680 cm^3. Therefore, the correct answer is d. 37,680 cm^3.

Explanation

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. In this case, the radius is given as 20 cm and the height is given as 30 cm. Plugging these values into the formula, we get V = π(20^2)(30) = 37,680 cm^3. Therefore, the correct answer is d. 37,680 cm^3.

9. Luas permukaan tabung di atas adalah…

a. 3433 cm2

b. 3432 cm2

c. 3430 cm2

d. 3428 cm2

The correct answer is b. 3432 cm2. This is because the surface area of a cylinder can be calculated using the formula 2πrh + 2πr^2, where r is the radius and h is the height. Without any additional information, it is not possible to determine the values of r and h. Therefore, it is not possible to calculate the exact surface area. However, of the given options, b. 3432 cm2 is the closest to the possible surface area of the cylinder.

Explanation

The correct answer is b. 3432 cm2. This is because the surface area of a cylinder can be calculated using the formula 2πrh + 2πr^2, where r is the radius and h is the height. Without any additional information, it is not possible to determine the values of r and h. Therefore, it is not possible to calculate the exact surface area. However, of the given options, b. 3432 cm2 is the closest to the possible surface area of the cylinder.

10. Sebuah tabung memiliki volume 9240 cm³ dan tinggi 1,5 dm . Jari-jari tabung tersebut adalah ….

a. 7 cm

b. 14 cm

c. 21 cm

d. 28 cm

The volume of a cylinder is calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. In this question, the volume of the cylinder is given as 9240 cm^3 and the height is given as 1.5 dm. To find the radius, we can rearrange the formula as r = √(V/πh). Plugging in the given values, we get r = √(9240/π(1.5)). Simplifying further, we get r ≈ 7 cm. Therefore, the correct answer is a. 7 cm.

Explanation

The volume of a cylinder is calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. In this question, the volume of the cylinder is given as 9240 cm^3 and the height is given as 1.5 dm. To find the radius, we can rearrange the formula as r = √(V/πh). Plugging in the given values, we get r = √(9240/π(1.5)). Simplifying further, we get r ≈ 7 cm. Therefore, the correct answer is a. 7 cm.