All Math Formula on Mensuration

All math formula on mensuration helps the students to know the exact formula used in mensuration to solve the math questions.

Mensuration

● Prism:

(i) Area of the lateral faces of a right prism = perimeter of the base × height.

(ii) Area of the whole surface of a right prism = Area of the lateral faces + 2 × area of the base.

(iii) Volume of a right prism = area of the base × height.

● Pyramid:

(i) Area of the lateral faces of a right pyramid = $$\frac{1}{2}$$ × perimeter of the base x slant height.

(ii) Area of whole surface of a right pyramid = area of the lateral faces + area of the base.

(iii) Volume of a right pyramid = $$\frac{1}{3}$$ × area of the base × height.

● Tetrahedron:

If a be the length of an edge of a regular tetrahedron then

(i) the area of its slant sides = $$\frac{3√3}{4}$$a$$^{2}$$ sq. units;

(ii) the area of its whole surface = √3a$$^{2}$$ sq. units

(iii) the volume of the tetrahedron = $$\frac{√2}{12}$$a$$^{3}$$ cu. units.

Formula

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