Surface area and volume of 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 = lwh, 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 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

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

Back

Volume = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.37 cm³.

Front

If a rectangular prism has dimensions 4 cm, 3 cm, and 2 cm, what is its surface area?

Back

Surface Area = 2(4*3 + 4*2 + 3*2) = 2(12 + 8 + 6) = 52 cm².

Front

What is the volume of a cylinder with a radius of 7 m and a height of 10 m?

Back

Volume = π(7 m)²(10 m) = 490π m³ ≈ 1539.38 m³.

Front

How do you find the surface area of a cylinder?

Back

Calculate the area of the two circular bases and the rectangular side (lateral area), then add them together.

Front

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

Back

Generally, volume can be less than, greater than, or equal to surface area depending on the dimensions.