Geometry Surface area and Volume

Front

What is the formula for the volume of a prism?

Back

V = Bh, where B is the area of the base and h is the height.

Front

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

Back

Rectangle

Front

What is the total surface area of a square pyramid if the lateral area is 108 cm² and the base area is 72 cm²?

Back

180 cm² (SA = LA + B) where LA = 108 cm² and B = 72 cm².

Front

What does LA stand for in the surface area formula SA = LA + 2B?

Back

LA stands for the sum of the areas of the lateral faces.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

If the volume of a cylinder is 80π in³ and the height is 5 in, what is the radius?

Back

4 in (V = πr²h, solve for r).

Front

What is the formula for the surface area of a cylinder?

Back

SA = 2πrh + 2πr², where r is the radius and h is the height.

Front

What is the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the relationship between the surface area and volume of a sphere?

Back

Surface area = 4πr² and Volume = (4/3)πr³, where r is the radius.

Front

What is the formula for the surface area of a rectangular prism?

Back

SA = 2lw + 2lh + 2wh, where l is length, w is width, and h is height.