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…

Question

asked Dec 28, 2020 149k views

1 Answer

Tomahim · Answer 1 · 2021-01-03T02:24:27+0000

Answer:

269.6 square centimeters

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

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

$L=6.4\ cm\\W=4\ cm\\H=10.5\ cm$

Find the area of the base B

B=LW

substitute the given values

$B=(6.4)(4)=25.6\ cm^2$

Find the perimeter of the base P

P=2(L+W)

substitute the given values

$P=2(6.4+4)=20.8\ cm$

Find the surface area

SA=2B+PH

substitute

$SA=2(25.6)+(20.8)10.5=269.6\ cm^2$