Given:
A figure of a triangular prism.
Height of triangular base =
yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
![B=\dfrac{1}{2}\times base\times height](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
![B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%204%5Ctimes%209%5Cdfrac%7B2%7D%7B3%7D)
![B=2\times \dfrac{29}{3}](https://tex.z-dn.net/?f=B%3D2%5Ctimes%20%5Cdfrac%7B29%7D%7B3%7D)
![B=\dfrac{58}{3}](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B58%7D%7B3%7D)
Putting
and h=4 in (i), we get
![V=\dfrac{58}{3}\times 4](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B58%7D%7B3%7D%5Ctimes%204)
![V=\dfrac{232}{3}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B232%7D%7B3%7D)
![V=77.33...](https://tex.z-dn.net/?f=V%3D77.33...)
![V\approx 77.3](https://tex.z-dn.net/?f=V%5Capprox%2077.3)
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
1 : a set each of whose elements is an element of an inclusive set. 2 : division, portion a subset of our community.
Step-by-step explanation:
In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion
hope this helps
You could do this in two ways, you could either subtract immediately or convert the time given in hours into minutes
STEP 1:
8:10
- 7:40
which will give 0:30
STEP 2:
8 hours 10 minutes into minutes is
(8 * 60) +10 = 490 minutes
7 hours 40 minutes into minutes is
(7*40) + 40 = 460 minutes
490 - 460
= 30minutes
Answer:
increase
Step-by-step explanation:
11.61 was added to 27