# Rectangular Prism Calculator

Enter the values of length, width, and height in the required input fields, and click calculate button to find surface area, volume, & diagonal using a rectangular prism calculator

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## Rectangular Prism Calculator

Rectangular Prism Calculator is used to calculate the volume, Surface area, and diagonal of the prism. It also provides a step-by-step solution to every problem.

## What is a Rectangular Prism?

A rectangular prism is a three-dimensional shape that has six faces and each face is a rectangle shape. Its shape is also called a rectangular cuboid or parallelepiped. The length, width, and height of the rectangular prism may be different or the same, but the angles between all faces are 90 degrees.

### Formulas

The formula for the surface area of a prism is stated as.

Surface Area = 2(h x w) + 2(h x l) + 2(l x w)

The formula for the volume of a prism is stated as.

Volume = l x w x h

The formula of the diagonal of a prism is stated as.

Diagonal = √ l2 + w2 + h2

Where,

• l = length of the prism.
• h = height of the prism.
• w = weight of the prism.

### Example

Find the volume, surface area, and diagonal of the prism if its length is 10, width is 6, and height is equal to 7.

Solution:

Step 1: Write the data from the above statement.

l = 10, w = 6, h = 7,

Volume =?

Surface Area =?

Diagonal =?

Step 2: Write the formula of volume, Area, and Diagonal.

Surface Area = 2(h x w) + 2(h x l) + 2(l x w)

Cubic Volume = l x w x h

Diagonal = √ l2 + w2 + h2

Step 3: Put the values from “step 1” in the above formulas.

Surface Area

Surface Area = 2(h x w) + 2(h x l) + 2(l x w)

= 2(7 x 6) + 2(7 x 10) + 2(10 x 6)

= 2(42) + 2(70) + 2(60)

= 84 + 140 + 120

= 344 m2

Volume

Volume = l x w x h

= (10 x 6 x 7)

= 420 m3

Diagonal:

Diagonal = √ l2 + w2 + h2

= √102 + 62 + 72

= √100 + 36 + 49

= √185

= 13.601 m

## More examples

Here are a few results of some other examples in the table section.

 Length Weight Height Surface Area (m2) Volume (m3) Diagonal (m) 15 8 4 424 480 17.464 145 80 36 39400 417600 169.47 125 67 34 29806 284750 145.84 1356 670 3378 15504696 3068980560 3701.2 12577 97889 2347 2980827310 2889508939691 98722