Surface Area and Volume of rectangular prisms and 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

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

Back

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

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.

Front

What does surface area represent in a 3D shape?

Back

Surface area represents the total area of the outer surface of a 3D shape.

Front

If a rectangular prism has dimensions 4 in, 3 in, and 2 in, what is its volume?

Back

Volume = 4 × 3 × 2 = 24 cubic inches.

Front

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

Back

Volume = π(3)²(5) ≈ 141.37 cubic meters.

Front

What is the surface area of a cube with a side length of 5 cm?

Back

Surface Area = 6s² = 6(5)² = 150 cm².

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Height = Volume / (πr²).

Front

What is the relationship between surface area and volume in 3D shapes?

Back

Surface area measures the extent of the outer surface, while volume measures the space contained within.