Respuesta :
Answer:
[tex]227.08\ in^{2}[/tex] of cardboard are needed
Step-by-step explanation:
we know that
The surface area of the rectangular prism ( cereal box) is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the cereal box
Find the area of the base B
[tex]B=(7.4)(2.5)=18.5\ in^{2}[/tex]
we have
[tex]H=9.6\ in[/tex]
Find the perimeter of the base P
[tex]P=2(7.4+2.5)=19.8\ in[/tex]
substitute the values
[tex]SA=2(18.5)+(19.8)(9.6)=227.08\ in^{2}[/tex]
Answer:
Two sides are 7.4 x 9.6
Two sides are 9.6 x 2.5 - Take these answers and multiply by 2 for all of them Two sides are 2.5 x 7.4 Shown Below-
2(7.4 x 9.6) = 142.08
2(9.6 x 2.5) = 48
2(2.5 x 7.4) = 37
142.08 + 48 + 37 = 227.08 square inches <------------------------- Final answer
Hope this helps
-Adrian Velez
Step-by-step explanation: