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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

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