Volume of Prisms and Cylinders

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is calculated using the formula: Volume = Base Area × Height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What does the term 'base area' refer to in the context of prisms?

Back

Base area refers to the area of the base shape of the prism, which is constant along the height of the prism.

Tags

CCSS.7.G.A.3

Front

How do you calculate the base area of a rectangle?

Back

The base area of a rectangle is calculated using the formula: Base Area = Length × Width.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

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

Back

The diameter of a circle is twice the length of the radius. Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

If the radius of a cylinder is 3m and the height is 5m, what is the volume?

Back

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a prism with a base area of 10 cm² and a height of 4 cm?

Back

Volume = Base Area × Height = 10 cm² × 4 cm = 40 cm³.

Tags

CCSS.7.G.B.6

Front

What is the unit of measurement for volume?

Back

Common units of measurement for volume include cubic centimeters (cm³), cubic meters (m³), and liters (L).

Tags

CCSS.3.MD.A.2

Front

What is the volume of a cylinder with a radius of 2m and a height of 7m?

Back

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the significance of the height in calculating the volume of a prism or cylinder?

Back

The height determines how 'tall' the prism or cylinder is, affecting the overall volume by extending the base area vertically.

Tags

CCSS.7.G.B.6