Surface Area and Volume

Front

What is the formula for the volume of a cylinder?

Back

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

Front

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

Back

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

Front

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

Back

Volume = lwh, where l is the length, w is the width, and h is the height.

Front

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

Back

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

Front

What is the value of π (Pi) approximately?

Back

π ≈ 3.14.

Front

If the radius of a cylinder is 5 cm and the height is 10 cm, what is the volume?

Back

Volume = π(5)²(10) ≈ 785.4 cm³.

Front

If the radius of a cylinder is 3 cm and the height is 7 cm, what is the surface area?

Back

Surface Area = 2π(3)(7 + 3) ≈ 188.4 cm².

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 space inside the object.

Front

How do you find the volume of a prism with a triangular base?

Back

Volume = (Base Area × Height) of the prism.

Front

What is the base area of a triangle with a base of 6 cm and a height of 4 cm?

Back

Base Area = (1/2) × base × height = (1/2) × 6 × 4 = 12 cm².