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Hi Hope you are doing fine I have a question, A student draws the net below to show the dimension of a container that is shaped like a right rectangular prism the picture that I posted is the rectangular prism on one side. The choices areA. 19 B. 30 C. 38 D. 62 which one would it be and why. thank you!! Have a nice day!!

Hi Hope You Are Doing Fine I Have A Question A Student Draws The Net Below To Show The Dimension Of A Container That Is Shaped Like A Right Rectangular Prism Th class=
Hi Hope You Are Doing Fine I Have A Question A Student Draws The Net Below To Show The Dimension Of A Container That Is Shaped Like A Right Rectangular Prism Th class=

Sagot :

We will solve as follows:

*We will find the surface area by finding the areas of the smaller rectangles and adding them up, that is:

*Area of top rectangle:

[tex]A_1=5\cdot2\Rightarrow A_1=10[/tex]

*Area of the two smaller rectangles on the side

[tex]A_2=2\cdot2\cdot3\Rightarrow A_2=12[/tex]

*Area of the rectangle in the middle:

[tex]A_3=3\cdot5\Rightarrow A_3=15[/tex]

*Area of the second rectangle [Bottom up]:

[tex]A_4=2\cdot5\Rightarrow A_4=10[/tex]

*Area of the rectangle on the bottom:

[tex]A_5=3\cdot5\Rightarrow A_5=15[/tex]

**Now, the surface area will be:

[tex]A_S=A_1+A_2+A_3+A_4+A_5\Rightarrow A_S=10+12+15+10+15[/tex][tex]\Rightarrow A_S=62[/tex]

So, the surface area is 62 squared inches.

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