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Volume, SMB-014

The storage building below is constructed by joining a square pyramid to a cube, with all measurements in metres.
 

Find the volume of the solid in cubic metres.   (3 marks)

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`150\ text(m)^3`

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`text{Volume (cube)}` `= 5 xx 5 xx 5`  
  `=125\ text{m}^3`  

 

`text{Volume (pyramid)}` `= 1/3 A h`
  `=  1/3 xx 5 xx 5 xx 3`
  `= 25\ text(cm)^3`

 
`text{Total volume}\ = 125 + 25 = 150\ text{m}^3`