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Pure gold is formed into bricks that are right trapezoidal prisms. The dimensions of a gold brick are shown. What is the volume of the gold brick? Show your work.​

Pure Gold Is Formed Into Bricks That Are Right Trapezoidal Prisms The Dimensions Of A Gold Brick Are Shown What Is The Volume Of The Gold Brick Show Your Work class=

Sagot :

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Answer:

volume of gold: 40.5 in³

Explanation:

[tex]\sf Volume \ of \ trapezoid: area \ of \ base \ * \ length[/tex]

Here the area of base:

[tex]\sf \frac{1}{2} *(base \ 1 + base \ 2 ) * height[/tex]

[tex]\sf \frac{1}{2} *(3.2 + 2.2) * 1.5[/tex]

[tex]\sf \frac{1}{2} *(5.4) * 1.5[/tex]

[tex]\sf 4.05[/tex]

Volume:

area of base * length

4.05 * 10

40.5 in³

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