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
..... (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.
Therefore the volume of the prism is 14400 units³.
Answer:
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
Step-by-step explanation:
We are given
Bethel Park is 28 miles directly west of Jeanette
10.3 miles directly south of Pittsburgh
We can draw diagram
we can see that this is triangle
so, we can use Pythagoras theorem
and we get
now, we can solve for x
So,
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
Answer:
See explanation
Step-by-step explanation:
The question has missing details, as the diagram of the prism is not shown.
However, I'll solve using a general rule.
The volume of a triangular prism is:
Where
Take for instance:
The volume is:
Another instance (see attachment).
From the attachment:
The volume is:
