Worth alot of points needquestion 1 if a horizontal plane crosses through a sphere, what 2-d cross section is formed? circle rectangle triangle square question 2 which best describes the cross section formed by a horizontal plane slicing a cube? triangle rectangle circle square question 3 if a plane slices a cone parallel to its base, what cross section is formed? square triangle circle rectangle question 4 what cross section is formed when a plane slices a rectangular pyramid parallel to its base? circle triangle rectangle square question 5 a horizontal plane intersects a cylinder parallel to its base. what 2-d cross section is formed? square rectangle circle triangle

Ques 1)

         Circle

Ques 2)

       Square

Ques 3)

          Circle.

Ques 4)

           Rectangle

Ques 5)

           Circle.  

Step-by-step explanation:

We know that when a slicing of a figure i.e. a 3-dimensional figure is done parallel to the base then the two dimensional  figure so obtained is similar to the base of the figure.

Ques 1)

The 2-D cross section that is obtained on slicing a sphere by a horizontal plane is:

                          Circle.

Since on slicing a sphere we will always obtain a circle.

Ques 2)

The cross section that is formed by slicing a cube by a horizontal plane is:

                                 Square.

As we know that a cube is a three dimensional figure that is formed by six faces all of which are squares.

Hence, the base of a cube is also a square.

Hence, we will obtain a square on slicing cube horizontally.

Ques 3)

If a plane slices a cone parallel to it's base then the cross-section that is obtained is:

                                Circle.

Since the base of a cone is a circle and when the slicing is done parallel to the base then the cross-section so obtained is similar to the base of original figure.

Ques 4)

When a rectangular pyramid is sliced parallel to it's base by a plane parallel to it's base then the cross-section obtained is:

                                   Rectangle.

Since a rectangular pyramid has 5 faces , 4 of which are triangles and one face is a rectangle which is the base and when the slicing is done parallel to the base of rectangular  pyramid we'll obtain a rectangle.

Ques 5)

A horizontal plane intersects a cylinder parallel to its base, The 2-D cross-section so obtained is:

                       Circle.

Since the base of a cylinder is in the shape of a circle.Hence, circle will be obtained.

if you was gonna solve for a, a is a   < -12