Question

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.

Answer 1

The total surface area of the given shape is
`A_(total)` = 253.5
`in^(2)`

Explanation:

Side of the square = 6.5 in

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

⇒ A =
`a^(2)`

Put the value of a in above equation we get

⇒ A = 6.5 × 6.5

⇒ A = 42.25
`in^(2)`

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

⇒
`A_(total)` = 6 × 42.25

⇒
`A_(total)` = 253.5
`in^(2)`

Therefore the total surface area of the given shape is
`A_(total)` = 253.5
`in^(2)`