
Grade 8-Surface Area and Volume
Authored by RUBEENA DXB)
Mathematics
8th Grade
Used 3+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculate the surface area of a swimming pool with side length 5 meters.
25 square meters
40 square meters
30 square meters
150 square meters
Answer explanation
The surface area of a swimming pool with side length 5 meters is calculated by multiplying the length of one side by itself, and then multiplying the result by 6. Therefore, the surface area is 5 * 5 * 6 = 150 square meters. This is the correct choice.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the volume of a swimming pool with length 8 meters, width 4 meters, and depth 3 meters.
32 cubic meters
48 cubic meters
64 cubic meters
96 cubic meters
Answer explanation
The volume of a swimming pool can be calculated by multiplying its length, width, and depth. In this case, the volume is 8 meters * 4 meters * 3 meters = 96 cubic meters. Therefore, the correct answer is 96 cubic meters.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the formula 2πr(r+h), calculate the surface area of a cylinder with radius 6 cm and height 10 cm.
452.39 cm²
301.59 cm²
528.34 cm²
94.25 cm²
Answer explanation
The surface area of a cylinder can be calculated using the formula 2πr(r+h). Plugging in the values, we get 2π(6)(6+10) = 2π(6)(16) = 192π ≈ 452.39 cm². Therefore, the correct answer is 452.39 cm².
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine the volume of a sphere with radius 12 cm. (Use the formula V = 4/3πr^3)
6012.45 cm^3
144.76 cm^3
2895.12 cm^3
7238.23 cm^3
Answer explanation
The volume of a sphere with a radius of 12 cm can be calculated using the formula V = 4/3πr^3. Plugging in the value of the radius, we get V = 4/3π(12^3) = 7238.23 cm^3. Therefore, the correct answer is 7238.23 cm^3.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A construction company is building a rectangular pyramid with a base area of 20 cm² and a height of 9 cm. What is the volume of the pyramid?
45 cm³
60 cm³
180 cm³
120 cm³
Answer explanation
The volume of a pyramid is calculated by multiplying the base area by the height and dividing by 3. In this case, the volume is (20 cm² * 9 cm) / 3 = 60 cm³. Therefore, the correct answer is 60 cm³.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A fish tank has dimensions 30 cm x 15 cm x 20 cm. What is the total surface area of the tank?
1350 cm^2
450 cm^2
900 cm^2
600 cm^2
Answer explanation
The total surface area of the fish tank can be calculated by finding the sum of the areas of all its sides. Since the tank has dimensions of 30 cm x 15 cm x 20 cm, the total surface area is 2(30x15) + 2(30x20) + 2(15x20) = 1350 cm^2. Therefore, the correct answer is 1350 cm^2.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cylindrical container has a radius of 5 cm and a height of 12 cm. What is the volume of the container?
60.24 cm³
25 cm³
314.16 cm³
150.72 cm³
Answer explanation
The volume of a cylinder is calculated by multiplying the area of the base (πr²) by the height. The correct choice, 314.16 cm³, is obtained by substituting the given values into the formula: π(5²)(12) = 314.16 cm³.
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