Rectangular Prism Surface Area and Volume Worksheet

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.