Hình học không gian Practice Questions
THPT (Vietnam) · THPT Toán · 145 free MCQs with instant results and detailed explanations.
145
Total
42
Easy
73
Medium
30
Hard
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Sample Questions from Hình học không gian
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Q1
Easy
If a cylinder has a radius of 3 cm and a height of 10 cm, what is its total surface area?
A.
78 cm²
B.
90 cm²
C.
120 cm²
D.
60 cm²
Show Answer & Explanation
Correct Answer: A
The total surface area of a cylinder is given by the formula A = 2πr(h + r). Substituting r = 3 cm and h = 10 cm gives A = 2π(3)(10 + 3) = 78 cm².
Q2
Easy
Which of the following solids has only one curved surface?
A.
Sphere
B.
Cone
C.
Cylinder
D.
Cube
Show Answer & Explanation
Correct Answer: B
A cone is the only solid listed that has a circular base and a single curved surface that extends from the base to the apex. The other options have either flat surfaces or multiple curved surfaces.
Q3
Easy
What is the volume of a cube with a side length of 4 cm?
A.
64 cm³
B.
16 cm³
C.
36 cm³
D.
48 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a cube is calculated using the formula V = side³. For a side length of 4 cm, the volume is 4³ = 64 cm³.
Q4
Medium
A pyramid with a square base has a base side of 6 cm and a height of 8 cm. What is its volume?
A.
96 cm³
B.
72 cm³
C.
48 cm³
D.
36 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a pyramid is given by V = (1/3)Bh, where B is the area of the base. The area of the square base is 6 cm × 6 cm = 36 cm². Thus, V = (1/3)(36)(8) = 96 cm³.
Q5
Medium
If two parallel planes are cut by a transversal, how many angles are formed?
A.
4
B.
8
C.
6
D.
12
Show Answer & Explanation
Correct Answer: B
When a transversal intersects two parallel planes, it creates two pairs of corresponding angles on each plane, resulting in 4 angles per plane and a total of 8 angles.
Q6
Medium
What is the surface area of a sphere with a radius of 5 cm?
A.
100π cm²
B.
25π cm²
C.
75π cm²
D.
50π cm²
Show Answer & Explanation
Correct Answer: A
The surface area of a sphere is calculated using the formula A = 4πr². Here, r = 5 cm, so A = 4π(5)² = 100π cm².
Q7
Medium
What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?
A.
250π cm³
B.
100π cm³
C.
50π cm³
D.
75π cm³
Show Answer & Explanation
Correct Answer: A
The volume V of a cylinder is given by V = πr²h. Here, r = 5 cm and h = 10 cm, so V = π(5)²(10) = 250π cm³.
Q8
Hard
In a right circular cone with height 10 cm and base radius 5 cm, what is the volume of the cone?
A.
83.33 cm³
B.
100 cm³
C.
150 cm³
D.
200 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a cone is calculated using the formula V = (1/3) * π * r² * h. Plugging in the values, V = (1/3) * π * (5)² * (10) = (1/3) * π * 25 * 10 = (250/3)π cm³, which approximates to 83.33 cm³.
Q9
Hard
A tetrahedron has vertices A(0, 0, 0), B(1, 0, 0), C(0, 1, 0), and D(0, 0, 1). What is the area of triangle ABC?
A.
0.5
B.
1
C.
0.75
D.
0.25
Show Answer & Explanation
Correct Answer: A
The area of triangle ABC can be calculated using the formula for the area of a triangle with vertices at coordinates. The base BC is 1 unit long, and the height from A to line BC is also 1 unit. Therefore, Area = (1/2) * base * height = (1/2) * 1 * 1 = 0.5.
Q10
Hard
A tetrahedron has its vertices at points A(0, 0, 0), B(1, 0, 0), C(0, 1, 0), and D(0, 0, 1). What is the volume of this tetrahedron?
A.
1/6
B.
1/4
C.
1/3
D.
1/2
Show Answer & Explanation
Correct Answer: A
The volume of a tetrahedron with vertices at the origin and coordinates (x1, y1, z1), (x2, y2, z2), (x3, y3, z3) is given by the formula: V = |det(A)|/6, where A is the matrix formed by coordinates of points. Here, V = |det([[1,0,0],[0,1,0],[0,0,1]])|/6 = 1/6.
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Hình học không gian — THPT (Vietnam) THPT Toán Practice Questions Online
This page contains 145 practice MCQs for the chapter Hình học không gian in THPT (Vietnam) THPT Toán. The questions are organized by difficulty — 42 easy, 73 medium, 30 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.