A rectangular prism has dimensions of 4 cm by 5 cm by 6 cm. What is the surface area of the prism?

Fri, 17 Apr 2026 02:13:31 +0000

**Why Knowing a Rectangular Prism’s Surface Area Matters—Even If It Seems Simple**
Numbers often hide behind everyday objects, and a rectangular prism with dimensions 4 cm by 5 cm by 6 cm is no exception. From packaging to design, understanding its surface area plays a quiet but key role in fields like manufacturing, marketing, and set design. In a digital landscape where precision drives trust, accurate calculations build credibility—especially on Discover, where users seek clear, reliable information fast. Given its size, this prism model surfaces in contexts tied to shipping efficiency, material estimation, and visual aesthetics. With growing demand for sustainable packaging and space optimization, knowing how to compute surface area helps brands and creators make smarter, informed decisions. Curious about why this 4x5x6 cm shape matters beyond classroom math? **Understanding the Surface Area of A Rectangular Prism**
The surface area of a rectangular prism (also called a cuboid) is calculated using the formula:
Surface Area = 2(lw + lh + wh)
Where l = length, w = width, h = height.
Plugging in the dimensions 4 cm, 5 cm, and 6 cm, you get:
Surface Area = 2[(4×5) + (4×6) + (5×6)] = 2[20 + 24 + 30] = 2×74 = 148 cm².
This simple calculation reveals just how easy geometry can inform real-world design choices. Data showing the surface area of a 4×5×6 prism has become increasingly relevant. Whether estimating material use in prototyping or optimizing product display, this measurement helps bridge theory with practical application—without confusion or guesswork.