A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 2 cm.

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Question: A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 2 cm. What is the total surface area of the box?

Options:

Correct Answer: 70 cm²

Solution:

Surface Area = 2(lw + lh + wh) = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2 * 80 = 160 cm².

A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 2 cm. What is the total surface area of the box?

A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 2 cm. What is the total surface area of the box?

Step 1: Identify the dimensions of the box. The length (l) is 10 cm, the width (w) is 5 cm, and the height (h) is 2 cm.
Step 2: Use the formula for the surface area of a rectangular box: Surface Area = 2(lw + lh + wh).
Step 3: Calculate the area of each pair of sides: lw = 10 cm * 5 cm = 50 cm².
Step 4: Calculate the area of the sides with length and height: lh = 10 cm * 2 cm = 20 cm².
Step 5: Calculate the area of the sides with width and height: wh = 5 cm * 2 cm = 10 cm².
Step 6: Add the areas calculated in Steps 3, 4, and 5: 50 cm² + 20 cm² + 10 cm² = 80 cm².
Step 7: Multiply the total area by 2 to get the total surface area: 2 * 80 cm² = 160 cm².

Surface Area Calculation – Understanding how to calculate the total surface area of a rectangular box using the formula 2(lw + lh + wh).
Dimensions of a Rectangular Box – Recognizing the length, width, and height as the necessary dimensions to apply in the surface area formula.