Question
An Olympic swimming pool is in the shape of a rectangular prism. What is the two-dimensional shape of the horizontal cross section? (1 point)
O a triangle
O a rectangle
Oa cube
O a square
What two-dimensional shape is formed by a horizontal cross section of a cube? (1 point)
O a rectangle
a rhombus
O a square
Oa parallelogram
Suppose △ABC with A(0, 0), B(3,5), and C(0, 5) is rotated about side CB. Identify the three-dimensional object formed. (1 point)
Oa cone with a height of 5 units and a diameter 3 units
Oa cone with a diameter of 6 units and a height of 5 units
a cone with a diameter of 5 units and a height of 3 units
a cone with a height of 3 units and a diameter of 10 units
A circle has its center at the origin of a coordinate plane. If you were to isolate one-quarter of the circle in Quadrant III and rotate that quarter about the x-axis, what three-dimensional object would be formed? (1 point)
O a sphere
O a cone
O a cylinder
a hemisphere
An isosceles right triangle with legs measuring 4 inches is rotated about one of its legs . What three-
dimensional object is formed as a result? (1 point)
cone with a diameter of 4 inches
cylinder with a diameter of 8 inches
cylinder with a diameter of 4 inches
cone with a diameter of 8 inches
O a triangle
O a rectangle
Oa cube
O a square
What two-dimensional shape is formed by a horizontal cross section of a cube? (1 point)
O a rectangle
a rhombus
O a square
Oa parallelogram
Suppose △ABC with A(0, 0), B(3,5), and C(0, 5) is rotated about side CB. Identify the three-dimensional object formed. (1 point)
Oa cone with a height of 5 units and a diameter 3 units
Oa cone with a diameter of 6 units and a height of 5 units
a cone with a diameter of 5 units and a height of 3 units
a cone with a height of 3 units and a diameter of 10 units
A circle has its center at the origin of a coordinate plane. If you were to isolate one-quarter of the circle in Quadrant III and rotate that quarter about the x-axis, what three-dimensional object would be formed? (1 point)
O a sphere
O a cone
O a cylinder
a hemisphere
An isosceles right triangle with legs measuring 4 inches is rotated about one of its legs . What three-
dimensional object is formed as a result? (1 point)
cone with a diameter of 4 inches
cylinder with a diameter of 8 inches
cylinder with a diameter of 4 inches
cone with a diameter of 8 inches
Answers
GPT-4o mini
1. The horizontal cross section of an Olympic swimming pool, which is in the shape of a rectangular prism, is:
**O a rectangle**
2. The two-dimensional shape formed by a horizontal cross section of a cube is:
**O a square**
3. For triangle \( \triangle ABC \) with vertices A(0, 0), B(3, 5), and C(0, 5) rotated about side CB, the three-dimensional object formed is:
**O a cone with a height of 5 units and a diameter of 3 units**
4. If a quarter of a circle in Quadrant III is rotated about the x-axis, the three-dimensional object formed is:
**O a hemisphere**
5. An isosceles right triangle with legs measuring 4 inches rotated about one of its legs forms:
**O cone with a diameter of 8 inches**
**O a rectangle**
2. The two-dimensional shape formed by a horizontal cross section of a cube is:
**O a square**
3. For triangle \( \triangle ABC \) with vertices A(0, 0), B(3, 5), and C(0, 5) rotated about side CB, the three-dimensional object formed is:
**O a cone with a height of 5 units and a diameter of 3 units**
4. If a quarter of a circle in Quadrant III is rotated about the x-axis, the three-dimensional object formed is:
**O a hemisphere**
5. An isosceles right triangle with legs measuring 4 inches rotated about one of its legs forms:
**O cone with a diameter of 8 inches**