Comprehensively calculate the volume, surface area, and diagonal of a rectangular prism (box). Just enter the length, width, and height.
A rectangular prism is a three-dimensional shape formed by six rectangular faces. This calculator automatically calculates volume, surface area, and diagonal length by just entering the length, width, and height. This is the most common solid shape in everyday life, found in boxes, buildings, and containers.
Volume is calculated using the formula length × width × height, and surface area as 2(lw + lh + wh). The diagonal is calculated using the formula √(l² + w² + h²), applying the three-dimensional Pythagorean theorem.
Rectangular prism calculations are essential in architecture and logistics for room sizes, box capacities, and container volumes. Calculate accurate volume to optimize packaging material selection, shipping cost estimation, and space utilization.
Visually displays the three-dimensional shape of the rectangular prism with SVG 3D wireframe. Length, width, and height are clearly marked, making it intuitively understandable. Dark mode is also supported.
Useful for students learning volume and surface area of solid shapes. You can see in real-time how volume and surface area change as you vary each dimension, helping to develop spatial awareness.
Responsive design allows convenient use on smartphones, tablets, and desktops anywhere. Calculate on-site immediately or use as educational material in the classroom.