Volume and Surface Area Formulas

Flashcards covering formulas for volume and surface area of 3D shapes.

Volume of a Cube

V = a³, where a is the length of a side.

Surface Area of a Cube

SA = 6a², which is the sum of the areas of 6 equal square faces.

Volume of a Rectangular Prism

V = l x w x h, where l is the length, w is the width, and h is the height.

Surface Area of a Rectangular Prism

SA = 2(lw + lh + wh), which is the sum of the areas of all six rectangular faces.

Volume of a Sphere

V = (4/3)πr³, where r is the radius of the sphere.

Surface Area of a Sphere

SA = 4πr², which is the total area covering the outside of the sphere.

Volume of a Cylinder

V = πr²h, where r is the radius of the base and h is the height.

Surface Area of a Cylinder

SA = 2πr(h + r), which includes the top, bottom, and side (curved surface).

Volume of a Cone

V = (1/3)πr²h, where r is the radius of the base and h is the height.

Surface Area of a Cone

SA = πr(l + r), which includes the base and the lateral (curved) surface.

Volume of a Square Pyramid

V = (1/3)b²h, where b is the side of the square base and h is the height from the base.

Surface Area of a Square Pyramid

SA = b² + 2bl, which includes the base and four triangular faces.

Volume of a Hemisphere

V = (2/3)πr³, where r is the radius of the hemisphere.

Surface Area of a Hemisphere

SA = 3πr², which includes the curved surface and the flat circular base.