Question

eva built a toy box in the shape of a rectangular prism with an open top. the diagram below shows the toy box and a net of the toy box. toy box net of toy box 12 cm 9 cm 15 cm what is the surface area, in square centimeters, of the toy box?

Explanation:

Step1: Identify the faces

The open - top rectangular prism has 5 faces: two faces with dimensions 15 cm by 9 cm, two faces with dimensions 12 cm by 9 cm, and one face with dimensions 15 cm by 12 cm.

Step2: Calculate the area of each type of face

The area of a rectangle is $A = l\times w$.
For the 15 cm by 9 cm faces: $A_1=15\times9 = 135$ $cm^2$, and since there are 2 of them, the total area is $2\times135 = 270$ $cm^2$.
For the 12 cm by 9 cm faces: $A_2=12\times9 = 108$ $cm^2$, and since there are 2 of them, the total area is $2\times108 = 216$ $cm^2$.
For the 15 cm by 12 cm face: $A_3=15\times12 = 180$ $cm^2$.

Step3: Calculate the total surface area

$S = 270+216 + 180$.
$S=666$ $cm^2$.

Answer:

666