Surface Area and Volume of Prisms& Cylinders

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = l × w × h, where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = 2πr(h + r), where r = radius, h = height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r = radius, h = height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the definition of a prism?

Back

A solid shape with two parallel, congruent bases connected by rectangular faces.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the definition of surface area?

Back

The total area of the surface of a three-dimensional object.

Front

What is the definition of volume?

Back

The amount of space occupied by a three-dimensional object.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you calculate the surface area of a triangular prism?

Back

Surface Area = (base area × 2) + (perimeter of base × height).

Tags

CCSS.7.G.B.6

Front

What is the relationship between surface area and volume?

Back

Surface area measures the extent of an object's surface, while volume measures the space it occupies; both are important in understanding the properties of solids.

Front

What is the significance of π in calculations involving circles and cylinders?

Back

π (pi) is a constant approximately equal to 3.14, used to relate the diameter of a circle to its circumference and area.

Tags

CCSS.HSG.GMD.A.1