Answered

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A straw is placed in a rectangular box that is 6 inches by 4 inches by 8 inches, as shown. If the straw fits exactly in the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

A Straw Is Placed In A Rectangular Box That Is 6 Inches By 4 Inches By 8 Inches As Shown If The Straw Fits Exactly In The Box Diagonally From The Bottom Left Co class=

Sagot :

[tex]length=2\sqrt[]{29}[/tex]

Explanation

you can solve this by using the distance between 2 points formula

[tex]D_{ab}=\sqrt[]{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2}[/tex]

then

Step 1

Let

P1(0,0,0)

P2(6,4,8)

now , replace

[tex]\begin{gathered} D_{ab}=\sqrt[]{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2} \\ D_{ab}=\sqrt[]{(6-0)^2+(4-0)^2+(8-0)^2} \\ D_{ab}=\sqrt[]{(6)^2+(4)^2+(8)^2} \\ D_{ab}=\sqrt[]{36^{}+16+64} \\ D_{ab}=\sqrt[]{116} \\ D_{ab}=\sqrt[]{4\cdot29} \\ D_{ab}=2\sqrt[]{29} \end{gathered}[/tex]

I hope this helps you

View image KalieghL353409
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