Cross Sections/Volume Prisms and Cylinders

Front

What is a cross section?

Back

A cross section is the shape that is exposed when a solid is cut through by a plane.

Front

What shape results from slicing a rectangular pyramid parallel to the base?

Back

Rectangle

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

If the diameter of a cylinder is 10 cm, what is the radius?

Back

Radius = Diameter / 2 = 5 cm.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 5 cm?

Back

392.7 cm³.

Front

How do you find the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a prism with a base area of 12 cm² and a height of 15 cm?

Back

Volume = Base Area × Height = 12 cm² × 15 cm = 180 cm³.

Front

What is the volume of a cylinder with a radius of 7.5 m and a height of 10 m?

Back

Volume = π(7.5 m)²(10 m) ≈ 1767.15 m³.

Front

What is the relationship between the diameter and radius of a circle?

Back

Diameter = 2 × Radius.

Front

If a cylinder has a volume of 883.125 m³ and a diameter of 15 m, what is its height?

Back

Height = Volume / (πr²) = 5 m.