Measurement Formulas

About Measurement Formulas

By comparing a quantity to a standard unit, measurement formulas are used to estimate amount ratios. The four basic measurements are mass, distance, area, and volume. The measurement formulas assist us in locating these critical measurements by using the given parameters. In addition, they include conversion formulas such as inches to feet, metres to miles, and so on.

What do you mean by Measurement Formulas?

The formulas for measuring various objects differ. Measurement formulas are necessary for our computations of the parameters we want to know. Measuring refers to calculating perimeter, area, and volume in arithmetic. The measurement formulas vary based on the size of the object. The dimensions of an object can be classified as 2-dimensional or 3-dimensional.

Formulas for 2-D Shape Measurement

2-dimensional shapes can only be measured in terms of length, area, and perimeter. To assist you understand the measuring formula, a comprehensive tabular list is supplied below.

Shape Name Perimeter Area
Square 4a a2 square units
Rectangle 2(a + b) l × w square units
Triangle a + b + c ½ Base × height square units
Parallelogram 2(a + b) base × height = b × h square units
Isosceles Trapezoid a + b+ c+ d ½ (a + b)h square units
Rhombus 4a ½ d1 × d2 square units
Circle 2πr πr2 square units
Rectangle 2(a + b) l × w square units

Formulas for Measurement of 3-D Shapes

We can measure the length, surface area, and volume of 3-dimensional shapes. A complete tabular list is provided below to help you grasp the measuring formula.

Shape Lateral (curved) Surface Area Total Surface Area Volume
Cube 4a2 6a2 a2
Cuboid> 2h (l + b) 2 (lb + bh + lh) l × b × h
Cone πrl πr(r + l) (1/3)πr2h
Cylinder 2πrh 2πr(h + r) πr2h
Sphere --- 2πrh or 4πr2 - (If a diameter of the sphere = 2r) (4/3)πr3
Hemisphere 2 π r2 3 π r2 (2/3)πr3
Prism base perimeter × height (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height) B × h
Pyramid (1/2) P × slant height LSA + base area = (1/2) P × slant height + B (1/3) (Bh)

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