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 triangular prism?

Back

Surface Area = bh + l₁h + l₂h + l₃h, where b = base, h = height, l₁, l₂, l₃ = lengths of the triangular sides.

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = (1/2) × b × h × L, where b = base of the triangle, h = height of the triangle, L = length of the prism.

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 difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

How do you calculate the surface area of a prism?

Back

Add the areas of all the faces of the prism.

Tags

CCSS.7.G.B.6

Front

What is the significance of units in surface area and volume calculations?

Back

Surface area is expressed in square units (e.g., cm²), while volume is expressed in cubic units (e.g., cm³).

Tags

CCSS.3.MD.C.6

Front

What is a net of a prism?

Back

A net is a 2D representation of a 3D shape that shows all the faces laid out flat.

Tags

CCSS.6.G.A.4