Triangular prism and rectangular prism
Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
![V_1=Length\times Width \times height](https://tex.z-dn.net/?f=V_1%3DLength%5Ctimes%20Width%20%5Ctimes%20height)
![V_1=16\times 7 \times 3](https://tex.z-dn.net/?f=V_1%3D16%5Ctimes%207%20%5Ctimes%203)
![V_1=336](https://tex.z-dn.net/?f=V_1%3D336)
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism 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 3\times 5](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%203%5Ctimes%205)
![B=7.5](https://tex.z-dn.net/?f=B%3D7.5)
The volume of a prism is:
![V_2=Bh](https://tex.z-dn.net/?f=V_2%3DBh)
Where, B is the base area and h is the height of the prism.
![V_2=(7.5)(6)](https://tex.z-dn.net/?f=V_2%3D%287.5%29%286%29)
![V_2=45](https://tex.z-dn.net/?f=V_2%3D45)
The volume of combined figure is:
![V=V_1+V_2](https://tex.z-dn.net/?f=V%3DV_1%2BV_2)
![V=336+45](https://tex.z-dn.net/?f=V%3D336%2B45)
![V=381](https://tex.z-dn.net/?f=V%3D381)
Therefore, the volume of the figure is 381 cubic in.
Answer:
D. 2x^2 - 2x + 2
Step-by-step explanation:
(3x2 – 2x + 5) – (x2 + 3) add or subtract like terms
3x^2 - x^2 - 2x - 3 + 5 = 2x^2 - 2x + 2
30ft2.
i think i’m not sure
Answer:
The correct answer is;
ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency
Step-by-step explanation:
The given information are;
Segment TN is congruent ts segment EL
Segment TA is congruent ts segment EF
Segment AN is congruent ts segment FL
Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency
One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.
Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency