Calculate the Total Surface Area of a Rectangular Box

MathematicsGeometryEasy

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Question

2. A safe box has a length of $8\text{ cm}$, width of $5\text{ cm}$ and height of $3\text{ cm}$. What is the TSA of the box? Formula:

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Step by Step Written Solution

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Step 1

Hi Omar, let's solve this problem about finding the total surface area of a box.

Problem Setup

2
Step 2

We are given a box with a length of eight centimeters, a width of five centimeters, and a height of three centimeters.

$$l = 8 \text{ cm}$$
$$w = 5 \text{ cm}$$
$$h = 3 \text{ cm}$$
3
Step 3

The formula for the total surface area, or TSA, of a rectangular box is two times length times width plus two times length times height plus two times width times height.

Formula

$$TSA = 2(lw + lh + wh)$$
4
Step 4

Let's substitute our values into the formula.

$$TSA = 2((8 \times 5) + (8 \times 3) + (5 \times 3))$$

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About This Question

Subject
Mathematics
Topic
Geometry
Difficulty
Easy
Question Type
Open Ended

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