What is the surface area of the box?
Understand the Problem
The question is asking for the calculation of the surface area of a box, which typically requires information about the dimensions of the box (length, width, and height) in order to apply the formula for surface area.
Answer
The surface area of the box is given by $S = 2(lw + lh + wh)$.
Answer for screen readers
The final surface area of the box is given by the equation: $$ S = 2(lw + lh + wh) $$
Steps to Solve
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Identify the formula for surface area The surface area ( S ) of a rectangular box (also known as a rectangular prism) can be calculated using the formula: $$ S = 2(lw + lh + wh) $$ where ( l ) is the length, ( w ) is the width, and ( h ) is the height of the box.
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Obtain the dimensions of the box To find the surface area, we need the values for length (( l )), width (( w )), and height (( h )).
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Plug the values into the formula Once we have the dimensions, we substitute them into the surface area formula: $$ S = 2(lw + lh + wh) $$
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Calculate each area and sum Calculate each of the products:
- ( lw )
- ( lh )
- ( wh )
Then sum them together and multiply by 2.
- Provide the final surface area Calculate the final result after multiplying by 2 to obtain the total surface area.
The final surface area of the box is given by the equation: $$ S = 2(lw + lh + wh) $$
More Information
The surface area is an important measure in geometry, especially in fields like engineering and architecture, as it helps determine the amount of material needed to cover the object.
Tips
- Forgetting to multiply by 2 when calculating the surface area.
- Using incorrect dimensions, so it's essential to double-check the values for length, width, and height.
