Sasha's grandmother loves to travel. She sends Sasha postcards from all around the world. Sasha keeps the postcards in a special box. The box has a square base and a square pyramid for a lid.What is the combined volume inside the box and lid?

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Answer 1 · 2018-04-11T01:21:54

#320# inches cubed

Volume of a prism: #Ah# (area of base #A# times height #h#)

In this case, the base is a square with a length/width of 8 inches. That means the area is #8*8# or #8^2#, which equal #64#.

Now multiply that by the height (4): #64*4=256#

Volume of a pyramid: #(Ah)/3#, where #A# represents the area of the base (a square) and #h# represents the height

The base is length times width: #8*8#, or #8^2#, equaling #64#

#(64*3)/3=(64*cancel(3))/cancel(3)=64#

Add the two volumes together: #256+64=320#