The diagram shows the net of a juice box. the box is a rectangular prism.
6.4 cm
10.5 cm
what is the surface area of the juice box?
a
134.8 square centimeters
134.8 squa
b
c
185.6 square centimeters
218.4 square centimeters
218 4
269.6 square centimeters

269.6 square centimeters

Step-by-step explanation:

The correct question is

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

Find the area of the base B

substitute the given values

Find the perimeter of the base P

substitute the given values

Find the surface area

substitute  

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.