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.

The total surface area of the given shape is = 253.5

Step-by-step explanation:

Side of the square = 6.5 in

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

⇒ A =

Put the value of a in above equation we get

⇒ A = 6.5 × 6.5

⇒ A = 42.25

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

⇒ = 6 × 42.25

⇒ = 253.5

Therefore the total surface area of the given shape is = 253.5

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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