A student plans to paint this box. Each of the sides is a square. The sides of the square each measure 6.5 in in length. What is the surface area of this shape? Show your work. Round your answer to the nearest tenth.

Respuesta :

Answer:

The total surface area of the given shape is [tex]A_{total}[/tex] = 253.5 [tex]in^{2}[/tex]

Step-by-step explanation:

Side of the square = 6.5 in

We know that area of the square is given by the equation

⇒ A = [tex]a^{2}[/tex]

Put the value of a in above equation we get

⇒ A = 6.5 × 6.5

⇒ A = 42.25 [tex]in^{2}[/tex]

We know that the given shape has 6 surfaces so total surface area of the given shape is given by

⇒ [tex]A_{total}[/tex] = 6 × 42.25

⇒ [tex]A_{total}[/tex] = 253.5 [tex]in^{2}[/tex]

Therefore the total surface area of the given shape is [tex]A_{total}[/tex] = 253.5 [tex]in^{2}[/tex]