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Rectangular Prism/Cuboid Tutorial

  


Rectangular Prism/Cuboid Definition:
     A Rectangular Prism/Cuboid is a solid figure bounded by six rectangular faces, a rectangular box. All angles are right angles, and opposite faces of a cuboid are equal. It is also a right rectangular prism.

Rectangular Prism/Cuboid Formula :
Area of Base(A) = l * w
Perimeter of Base(P) = 2l + 2w
Surface Area of Prism = 2(lw) + (2l + 2w)h = 2A + Ph
Volume of Prism = lwh = Ah
Diagonal of Prism = Sqrt(l² + w² + h²)
where
        l = length, w = width, h = height
Rectangular Prism/Cuboid Image/Diagram
big-cube
Rectangular/Cuboid Prism Example :
Case 1: Find the surface area, volume and diagonal of a rectangular prism/Cuboid with the given length 2, width 3, height 4.

  Step 1: Find the area of the base.
            Area of the base(A) = l * w = 2 * 3 = 6.

  Step 2: Find the perimeter of the base.
            Perimeter of the base(P) = 2l + 2w = (2 * 2) + (2 * 3) = 4 + 6 = 10.

  Step 3: Find the surface area of prism.
            Surface Area of Prism = 2A + Ph = (2 * 6) + (10 * 4) = 12 + 40 = 52.

  Step 4: Find the volume of prism.
            Volume of Prism = Ah = 6 * 4 = 24.

  Step 5: Find the diagonal of prism.
            Diagonal of Prism = Sqrt(l² + w² + h²) = Sqrt(2² + 3² + 4²) = Sqrt(4 + 9 + 16) = Sqrt(29) = 5.39.

The above example will clearly illustrates how to calculate the Volume, Surface Area, Diagonal Perimeter of a Rectangular Prism/Cuboid manually.



Related Calculator:
>> Rectangular Prism/Cuboid Calculator.

This tutorial will help you dynamically to find the Math area problems.