If Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism, then the volume of the prism is 210 cm³.
As per the question statement, Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism.
We are required to calculate the volume of the prism.
As we can see from the reference diagram attached hereby, our prism can hold a 7 cubes along its length, 6 cubes along its width and 5 cubes along its height.
And since the constituent cubes are all identical and of volume 1 cm³, it means that all the dimensions (length, width and height) of each of the constituent cubes is 1cm.
Therefore, length of our prism [tex]=(7*1)=7[/tex] cm,
Width of our prism [tex]=(6*1)=6[/tex] cm,
And, height of our prism [tex]=(5*1)=5[/tex] cm.
Therefore, volume of our prism = (length * width * height)
[tex]=(7*6*5)\\=(42*5)\\=210[/tex]
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