Lateral Area of an Oblique Prism Calculator: Find the Lateral Area of a Prism

An oblique prism is a three-dimensional shape with two parallel bases and rectangular sides connecting the bases. If you need to find the lateral area of an oblique prism, you can use a Lateral Area of an Oblique Prism Calculator. This tutorial will show you how to use a Lateral Area of an Oblique Prism Calculator and explain the formula used to find the lateral area of a prism.

Lateral Area of an Oblique Prism Calculator

Perimeter

Lateral Edge

Lateral Area of an Oblique Prism Calculator Results

Lateral Area of an Oblique Prism =

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Step 1: Input the Measurements

The first step in using a Lateral Area of an Oblique Prism Calculator is to input the measurements of the prism. You'll need to input the length, width, and height of the prism into the calculator, as well as the angle between the base and the height. For example, if the length of the prism is 8 cm, the width is 6 cm, the height is 10 cm, and the angle between the base and the height is 60 degrees, then you would input those values into the calculator.

Step 2: Calculate the Lateral Area

The next step is to calculate the lateral area of the oblique prism. The lateral area is the sum of the areas of all the rectangular sides of the prism. For an oblique prism, the formula for the lateral area is:

Oblique Prism Lateral Area Formula

Lateral Area = ph

where p is the perimeter of the base of the prism and h is the height of the prism.

To use this formula, you'll need to calculate the perimeter of the base of the prism. If the base of the prism is a rectangle, as it is in most cases, you can use the following formula to calculate the perimeter:

Rectangle Perimeter Formula

Perimeter = 2(l + w)

where l is the length of the rectangle and w is the width of the rectangle.

Using our example values, the perimeter of the base of the prism can be calculated as follows:

Perimeter = 2(8 + 6) = 28 cm

Now we can use the perimeter and height values to calculate the lateral area of the oblique prism:

Lateral Area = 28 × 10 = 280 square centimeters

Conclusion

A Lateral Area of an Oblique Prism Calculator can save you time and effort in finding the lateral area of a prism. By following the steps outlined in this tutorial and using the formulas for lateral area, perimeter, and height, you can easily calculate the lateral area for any oblique prism.

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