Surface Area of a Cuboid Calculator

This Surface Area of a Cuboid Calculator helps you find the total area of all faces of a cuboid when the length, width, and height are known. It uses the formula SA = 2(lw + lh + wh), where l is the length, w is the width, h is the height, and the answer is written in square units. Find the areas of the three different face pairs, add them together, then multiply by 2 to get the surface area. It is a simple way to check answers, understand the cuboid surface area formula, and practise basic geometry step by step.

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:

Example 1:

Step 1 - Identify what is given.

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

Step 2 - Write the formula.

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

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

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

Final answer:

Example 2:

Step 1 - Identify what is given.

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

Step 2 - Write the formula.

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

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

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

Final answer: