Check the picture below.
let's recall Cavalieri's principle, that solids with equal altitudes and identitical cross-sectional areas at each part all the way up, have the same volume.
so, for a prism like this that is not oblique, with rhombic bases of area 600 and a height/altitude of 24, the volume will simply be the base * height, 600 * 24 = 14400.
well, based on Cavalieri's principle, an oblique one will also have the same volume.
Answer:
The volume of the prism is 14400 units³.
Step-by-step explanation:
It is given that an oblique prism is created using rhombuses with edge lengths of 25 units.
The volume of a prism is
[tex]V=B\times h[/tex] ..... (1)
Where, B is base area and h is height of the prism.
It is given that the area of one rhombus is 600 sq units. The perpendicular distance between the bases is 24 units.
Substitute B=600 and h=24 in equation (1) to find the volume of the prism.
[tex]V=600\times 24[/tex]
[tex]V=14400[/tex]
Therefore the volume of the prism is 14400 units³.
