- Surface Areas
- Home
- Nets of solids
- Surface area of a cube or a rectangular prism
- Surface area of a rectangular prism made of unit cubes
- Distinguishing between surface area and volume
- Using a net to find the surface area of a rectangular prism
- Word problem involving the surface area of a rectangular prism
- Surface area of a triangular prism
- Using a net to find the surface area of a triangular prism

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# Word problem involving the surface area of a rectangular prism

In this lesson, we solve word problems involving the surface area of a rectangular prism.

A rectangular prism has a width of 10 cm, a height of 3 cm and a depth of 7 cm. What is the surface area of the prism?

### Solution

**Step 1:**

Surface area of figure = 2 (l w + w h + l h) l = 7 cm; w = 10 cm; h = 3 cm

**Step 2:**

Surface area = 2(7 × 10 + 7 × 3 + 3 × 10)

= 242 square inches

What is the surface area of a figure that is 6 inches wide, 4 inches tall and 5 inches long?

### Solution

**Step 1:**

Surface area of figure = 2 (l w + w h + l h) l = 5 in; w = 6 in; h = 4 in

**Step 2:**

Surface area = 2(5 × 6 + 5 × 4 + 6 × 4)

= 148 square inches

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