BrightonI355477 BrightonI355477
  • 03-11-2022
  • Mathematics
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What is the volume of the figure showing below? 5ft 6ft 10 1/2ft 2ft

What is the volume of the figure showing below 5ft 6ft 10 12ft 2ft class=

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DayjonR492234 DayjonR492234
  • 03-11-2022

Volume of a prism = Base area x height

The base is a trapezium

[tex]\begin{gathered} \text{Base area = }\frac{1}{2}(a+b)h \\ =\frac{1}{2}(5+2)6 \\ =\frac{1}{2}(7)6 \\ =21ft^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Volume = 21 ft}^2\text{ x 10}\frac{1}{2}\text{ ft} \\ =21\text{ x }\frac{21}{2} \\ =220.5ft^3 \end{gathered}[/tex]

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