Question
The area of the four faces is 96 square inches.
The surface area is
3. Yolanda makes wooden boxes for a crafts fair. She makes
100 boxes like the one shown, and she wants to paint all
the outside faces. (Example 2)
a. Find the surface area of one box.
The surface area is
3. Yolanda makes wooden boxes for a crafts fair. She makes
100 boxes like the one shown, and she wants to paint all
the outside faces. (Example 2)
a. Find the surface area of one box.
Ask by Floyd Spencer. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La superficie total de una caja es 168 pulgadas cuadradas.
Solution
Sea el lado de la base
Podemos suponer que el diagrama muestra una base cuadrada de
La superficie total de una caja cerrada se compone del área de las cuatro caras laterales más el área de la base superior e inferior (que son cuadrados).
El área de cada cuadrado es
El área de cada cuadrado es
Por lo tanto, el área total es
La respuesta es:
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Simplify this solution Bonus Knowledge
To find the surface area of one box, you can start by recognizing that the surface area of a rectangular box is calculated using the formula: Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height. Since the total area of the four faces is given as 96 square inches, you can deduce that the remaining two faces contribute to this total. If you know the dimensions of each face, you can plug those values into the formula to calculate the individual box’s surface area.
Now that you have the surface area of one box, Yolanda’s next step is to multiply that value by 100 boxes. If one box has a surface area of, say, 48 square inches, then for 100 boxes, the total surface area would be 48 x 100 = 4800 square inches. This is the area that Yolanda will need to paint for all her boxes!
