This worksheet help you to understand how to compute rectangular cuboid volume, surface area, diagonal length and perimeter. The shapes of rectangular prism, right cuboid, rectangular box, rectangular hexa-hedron, right rectangular prism, or rectangular parallel piped also referred to as rectangular cuboid. It has has six sides similar to 3D view of a rectangle.

**Cuboid Formulas:**

**Volume** = Length x Width x Height

**Surface Area** = 2(lw) + 2(hl) + 2(hw)

**Diagonal Length** = &radic(l2 + w2 + h2)

**Perimeter** = 2l + 2w

**Rectangular Prism Surface Area and Volume Example:**

Find the area, volume, Diagonal length & perimeter whose Length = 3, Width = 5, Height =7

**To Calculate Volume:**

Volume = Length x Width x Height

= 3 x 5 x 7

= 105

**To Calculate Surface Area:**

Surface Area = 2(lw) + 2(hl) + 2(hw)

= 2 x ((3x5) + (7x3) + (5x7))

= 2x71

= 142

**To Calculate Diagonal Length**

Length = Root of (l2 + w2 + h2)

= &radic(32 + 52 + 72)

= &radic(83)

= 9.1104

**To Calculate Perimeter:**

Perimeter = 2l + 2w

= 2 x (3 +5)

= 2 x 8

= 16

When you try to solve rectangular cuboid or prism surface area, volume, diagonal length and perimeter on your own, this *rectangular prism calculator* can be used to verify the results of your such calculations.

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