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.

Front

Define the term 'volume' in the context of three-dimensional shapes.

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the surface area of a cylinder?

Back

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

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a three-dimensional object, while volume measures the space inside the object.

Front

If a triangular prism has a base area of 30 cm² and a height of 10 cm, what is its volume?

Back

Volume = Base Area × Height = 30 cm² × 10 cm = 300 cm³.

Front

What is the total surface area of a triangular prism?

Back

Total Surface Area = Base Area + (Perimeter of Base × Height).

Front

How do you find the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r = radius and h = height.

Front

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

Back

Surface Area = 4πr², where r = radius.

Front

If the radius of a cylinder is doubled, how does that affect the volume?

Back

The volume increases by a factor of 4, since Volume = π(2r)²h = 4πr²h.