9514 1404 393
Answer:
c) 16,500 m³
d) 277,088 mm³
a) V = LWH
b) V = πr²h
Step-by-step explanation:
The relevant volume formulas are ...
- rectangular pyramid: V = 1/3LWH
- cylinder: V = πr²h
- rectangular prism: V = LWH
__
13c. The pyramid formula above tells us the volume is ...
V = 1/3(60 m)(15 m)(55 m) = 16,500 m³
__
13d. The cylinder formula above tells us the volume is ...
V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL
__
14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...
V = LWH . . . . . where L, W, H represent the length, width, and height
__
14b. The volume of a cylinder is given by the formula ...
V = πr²h . . . . . where r, h represent the radius and height (length)
Option C:
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is 
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,

Let us break the expression
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out
, we get,

Hence, the possible expressions for length, width and height of the prism is 
Therefore, Option C is the correct answer.
La ecuación que nos dice cuantas niñas hay en el colegio es:
A = x - c*m
¿Como encontrar una expresión para la cantidad de niñas?
Sabemos que hay un total de x estudiantes, definimos las variables:
- A = cantidad total de niñas
- B = cantidad total de niños.
Entonces tenemos A + B = x
Tambien sabemos que los estudiantes estan divididos en c cursos, de tal forma que hay m niños por curso.
Entonces c por m es igual a la cantidad total de niños:
c*m = B
Reemplazando esto en la ecuación de arriba podemos obtener:
A + c*m = x
A = x - c*m
Esta es la ecuación que nos da el numero total de niñas en el colegio.
Sí quieres aprender más sobre ecuaciones, puedes leer:
brainly.com/question/18168483
Answer:
<h3>C. 180 square inches</h3>
Step-by-step explanation:
<h2>#carry on learning </h2><h2>#mark brainlits</h2>