Square Prism Volume Calculator

Square Prism: how to find the surface area and volume when one side length is given, and how to find the surface area and side length when the volume is given.

Square Prism Calculation Method

Square Prism: calculate the volume and surface area from the side length.

Formula for the volume

Square Prismformula for the area

Square Prismformula for the height

The side length (a) of Square Prism is 0 .

The volume (V) of Square Prism is 0 .

The area (S) of Square Prism is 0 .

The height (h) of Square Prism is 0 .

About This Calculator

A square prism (square-based cuboid) has two square ends connected by four rectangular sides. Its volume is the square of the base edge multiplied by the prism height.

Enter the base edge length and the height to get the volume and total surface area.

In the Korean curriculum a square prism is a cuboid: volume is length × width × height and surface area is 2(lw + lh + wh). A 3 × 4 × 5 box holds 60 cubic units with a surface area of 94. For a fixed volume of 60 the cube of edge 3.914 has the smallest surface area of all.

Key Formula:V = a² × h · Surface area = 2a² + 4ah

Frequently Asked Questions

Is a square prism the same as a cube?

Only when the height equals the base edge. A square prism allows the height to differ, so a cube is the special case where length, width and height are all equal.

What is a real example of a square prism?

Square-cased towers, square column bases and square candles are common examples — any object with a square cross-section extruded along a straight length.

How is a cuboid different from a cube?

A cube is a cuboid whose three dimensions are equal. Every cube is a cuboid, but 3 × 4 × 5 is a cuboid and not a cube, so cuboid formulas cover cubes while cube formulas do not cover cuboids.

How do I find the space diagonal of a cuboid?

Take the square root of the sum of the squares of the three dimensions: for 3 × 4 × 5 that is √(9 + 16 + 25) = √50 = 7.071.

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Sources & last update

2026-10-19