Cross Sections/Volume Prisms and Cylinders

Front

What is a cross section?

Back

A cross section is the intersection of a solid and a plane, showing the shape of the solid at that particular slice.

Front

What shape is the cross section of a cylinder when cut vertically?

Back

The vertical cross section of a cylinder is a rectangle.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

Front

How do you find the radius of a cylinder if the diameter is given?

Back

The radius is half of the diameter. If the diameter is d, then the radius r = d/2.

Front

What is the volume of a cylinder with a diameter of 6.4 cm and a height of 4.9 cm?

Back

The volume is approximately 157.55 cm³.

Front

What shape is the cross section of a cube?

Back

The cross section of a cube is a square.

Front

What is the result of slicing a rectangular pyramid parallel to the base?

Back

The result is a rectangle.

Front

What is the relationship between the height and volume of a cylinder?

Back

The volume of a cylinder increases linearly with height, assuming the radius remains constant.

Front

What is the cross section of a cone when sliced horizontally?

Back

The horizontal cross section of a cone is a circle.

Front

What is the formula for the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.