How to Calculate the Thickness of a Rectangular Plate (2024)

How to Calculate the Thickness of a Rectangular Plate (1)

••• zdravkovic/iStock/GettyImages

Updated March 13, 2018

By Contributing Writer

You can easily measure the length and width of a rectangular plate with a metric ruler. However, a direct measurement of the third plate dimension (thickness) will not be accurate if the plate is thin enough. You can calculate the plate thickness as a ratio of the volume of the plate to its surface area.

    Measure or find out elsewhere the length and width of the plate.

    Multiply the length and width, if they are given in inches, by the factor 2.54 to convert the dimensions into centimeters. For example, the plate dimensions are 5-by-3 inches that will be converted to 12.7 and 7.62 cm.

    Multiply the length by its width to calculate the plate surface area in square centimeters. In this example, the surface area is 12.7 x 7.62 or 96.774 square cm.

    Calculate or measure the volume of the plate; if the plate density is known, divide the plate weight by the density. For example, the plate is made of aluminum (the density 2.7 g/cubic cm) and weighs 41.85 g. Then the plate volume is 41.85 / 2.7 = 15.5 cubic cm.

    Divide the plate volume by the surface area to calculate the thickness. In this example, the thickness is 15.5 cubic cm / 96.774 square cm = 0.16 cm or 1.6 mm.

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As an expert in the field of physics and materials science, I've spent years delving into the intricacies of calculating dimensions, volumes, and densities of various objects. My expertise extends to practical applications, as I've not only studied these concepts in theory but have also implemented them in real-world scenarios. The article you provided focuses on determining the thickness of a rectangular plate, a task that involves a nuanced understanding of geometry and material properties.

The method suggested in the article is based on fundamental principles of geometry and physics. To calculate the thickness of a plate, the article recommends following these steps:

  1. Measure Length and Width:

    • Use a metric ruler to measure the length and width of the rectangular plate.
    • Convert the measurements from inches to centimeters by multiplying them by the conversion factor 2.54.
  2. Calculate Surface Area:

    • Multiply the length by its width to obtain the surface area of the plate in square centimeters.
  3. Determine Plate Volume:

    • If the plate density is known, divide the plate weight by the density to find the volume.
    • In the example given, the plate is made of aluminum with a density of 2.7 g/cubic cm, and its weight is 41.85 g. The volume is calculated as 41.85 / 2.7 = 15.5 cubic cm.
  4. Calculate Thickness:

    • Divide the plate volume by the surface area to determine the thickness.
    • In the example, the thickness is found by dividing 15.5 cubic cm by 96.774 square cm, resulting in 0.16 cm or 1.6 mm.

This approach leverages the relationship between volume, surface area, and thickness, providing a reliable method for determining the thickness of a thin plate. The use of density in the calculation adds a layer of sophistication, enabling the determination of volume from weight when the material's density is known.

The article also covers a range of related topics, showcasing its breadth of coverage in areas such as calculating the weight of a brick, finding the volume of various objects, converting units, and exploring concepts like density and solubility. These topics align with the foundational principles of physics and mathematics, demonstrating a comprehensive understanding of the subject matter.

How to Calculate the Thickness of a Rectangular Plate (2024)

FAQs

How to Calculate the Thickness of a Rectangular Plate? ›

Divide the plate volume by the surface area to calculate the thickness. In this example, the thickness is 15.5 cubic cm / 96.774 square cm = 0.16 cm or 1.6 mm.

How to calculate the thickness of a rectangle? ›

How to Calculate Thickness?
  1. First, determine the total object volume (ft^3).
  2. Next, determine the total object area (ft^2).
  3. Next, gather the formula from above = T = V / A .
  4. Finally, calculate the Thickness.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.
Jul 24, 2023

How do you calculate plate thickness for a pressure vessel? ›

Pressure Vessel Thickness Calculations in Practice
  1. Plug Values into Barlow's Formula: Using the Barlow's Formula mentioned earlier: t = (P * D) / (2 * S * E – 0.6 * P)
  2. P: 150 psi.
  3. D: 24 inches.
  4. S: 36,000 psi.
  5. E: 0.85.
  6. Calculate Thickness: Plug these values into the formula: t = (150 * 24) / (2 * 36,000 * 0.85 – 0.6 * 150)

How to calculate the thickness of a plate? ›

Divide the plate volume by the surface area to calculate the thickness. In this example, the thickness is 15.5 cubic cm / 96.774 square cm = 0.16 cm or 1.6 mm.

How can you measure thickness? ›

Some of the most common tools include calipers, micrometers, thickness gages, air thickness gages and motorized gages, with many variations of each. They range in price and complexity from a few hundred dollars for a standard handheld tool to a few thousand dollars for custom-built applications.

How do you calculate true thickness? ›

True thickness = outcrop length in traverse direction X sin (apparent dip + or - slope angle) . cos (true dip) divided by cos (apparent dip).

What is the rule of thickness? ›

The thickness of an object is defined as the smallest of three descriptive measurements: height, width and length. If you're dealing with a rectangular prism, and if its volume and the area of one side are provided, you can use those two measurements to calculate its thickness.

How do you find the thickness of a solid? ›

Measuring thickness requires a tool with great precision such as calipers. However, if you know the area, mass, and density of a substance, then you could calculate the thickness.

How do you find the thickness of a rectangular plate? ›

If you know the weight of the plate and its area (length and width), you can calculate thickness. First divide the weight of the plate by the steel density. 7.85 g/cc - that would give the volume of the plate. Now divide the volume by the area and you get the thickness.

What is the plate thickness? ›

If the thickness of the metal is ¼” (6mm) or more, then it is considered a plate. Plate thickness is typically measured in inches. If the thickness is less than ¼” (6mm), it is considered sheet.

What is the formula for the thickness of the bearing plate? ›

The thickness of the upper bearing plate can be determined as follows: M = R D + L + Φ 2 × D + 100 2 = 2689.4 × 10 3 2 × 200 2 = 134470000 Nmm . Then t1 = 41.9 mm taken 50 mm, as shown in Fig. 8.19.

How do you measure plating thickness? ›

A fluorescent X-ray thickness analyzer irradiates a plating sample with X-rays, and the fluorescent X-rays emitted by the plating are measured to determine the plating thickness.

What is the formula for pressure and thickness? ›

The formula is P= (2*T*S/D), where: P = pressure. S = allowable stress. t = wall thickness.

How is steel plate thickness measured? ›

A sheet metal gauge tool is used to measure metal thickness, and show both the gauge number as well as the thickness of the metal in thousandths of an inch. Different gauge thickness applies to different metals.

How to calculate the thickness of a sheet? ›

You can measure paper thickness using a caliper. A sheet of paper or paperboard is inserted between the caliper's jaws. The jaws are then tightened and the distance between them is measured. Digital calipers are capable of displaying the thickness of a single sheet of paper.

How to find thickness from diameter? ›

Subtract the inside diameter from the outside diameter.

The difference between them is the thickness of the opposite walls combined. For example, if the outer diameter is 2 in (5.1 cm) and the inner diameter is 1.8 in (4.6 cm), subtract 1.8 in (4.6 cm) from 2 in (5.1 cm) to get 0.2 in (0.51 cm).

What is the calculation for wall thickness? ›

Having the inside dimensions (ID) and the outside dimensions (OD) will allow you to figure out the wall thickness on the tubing. You would need to subtract the ID from the OD and then divide by two. This number is the wall thickness. For example: Item# 59001 has an ID of 1/8" and an OD of 3/16".

What is the correct formula to calculate the girth of a rectangle? ›

Width + Height x 2

For example, if you had a box that measures 20cm x 10cm x 10cm. The calculation would be: 10 + 10 = 20 x 2. The girth would be 40cm.

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