Surface Area of a Cuboid Calculator

Published on: July 21, 2024

Use this calculator to find the surface area of a cuboid when you know its length, width, and height. Surface area is the total area of all faces (in square units).
Cuboid labeled l, w, h
In the diagram, the dimensions are labeled l, w, and h.

Step-by-step method

  1. Identify what is given.
  2. Write the formula.
  3. Substitute the values and calculate the surface area.

Formula:

A = 2(lw + lh + wh)

Example 1: l = 4, w = 3, h = 2

Step 1 - Identify what is given.

In this problem: The given dimensions are l = 4, w = 3, h = 2.

l=4,w=3,h=2

Step 2 - Write the formula.

In this problem: Use the surface area formula: A = 2(lw + lh + wh).

A=2(lw + lh + wh)

Step 3 - Substitute the values and calculate the surface area.

In this problem: Substitute l = 4, w = 3, h = 2: A = 2((4×3) + (4×2) + (3×2)). Then A = 2(12 + 8 + 6) = 52.

A=2((4×3) + (4×2) + (3×2))=52

Final answer: A = 52

Example 2: l = 6.5, w = 2, h = 1.5

Step 1 - Identify what is given.

In this problem: The given dimensions are l = 6.5, w = 2, h = 1.5.

l=6.5,w=2,h=1.5

Step 2 - Write the formula.

In this problem: Use the surface area formula: A = 2(lw + lh + wh).

A=2(lw + lh + wh)

Step 3 - Substitute the values and calculate the surface area.

In this problem: Substitute l = 6.5, w = 2, h = 1.5: A = 2((6.5×2) + (6.5×1.5) + (2×1.5)). Then A = 2(13 + 9.75 + 3) = 51.5.

A=2((6.5×2) + (6.5×1.5) + (2×1.5))=51.5

Final answer: A = 51.5