maths equations

volume and area for pyramid

a:

volume is a third times base times height

One-half × Perimeter of the base × Slant height + Area of the base.

cube

sa

volume

• Surface area: Six × side length × side length.

• Volume: Side length × side length × side length.

cuboid

sa

volume

• Surface area: Two × (length × width + length × height + width × height).

• Volume: Length × width × height.

triangular prisim volume sa area

• Surface area: Add the areas of all five faces.

• Volume: Area of triangular cross-section × length.

• Area of triangle: Half × base × perpendicular height.

cylinder

curved surface area,total surface area,volume

• Curved surface area: Two × pi × radius × height.

• Total surface area: Two × pi × radius squared + two × pi × radius × height.

• Volume: Pi × radius squared × height.

pymarid What is the formula?

• Surface area

• Volume

• Surface area: Area of the base + area of all triangular faces.

• For a regular pyramid: Half × perimeter of base × slant height + area of base.

• Volume: One-third × area of base × perpendicular height.

cone

Curved surface area

• Total surface area

• Volume

• Curved surface area: Pi × radius × slant height.

• Total surface area: Pi × radius squared + pi × radius × slant height.

• Volume: One-third × pi × radius squared × perpendicular height.

sphere

Surface area

• Volume

• Surface area: Four × pi × radius squared.

• Volume: Four-thirds × pi × radius cubed.

hemisphere

• Curved surface area

• Total surface area

• Volume

• Curved surface area: Two × pi × radius squared.

• Total surface area: Three × pi × radius squared.

• Volume: Two-thirds × pi × radius cubed.

prisim

• Volume

• Surface area

• Volume: Cross-sectional area × length.

• Surface area: Two × area of cross-section + perimeter of cross-section × length.

area of sector

x divided by 360 times pie times radius squared

length of arc

x divided by 360 times 2 times pie times radius