Question

Las dimensiones de un prisma rectangular son x + 5 para la longitud, x + 9 para el ancho yx para la altura. ¿Cuál es el volumen del prisma? Ingrese su respuesta como un polinomio en forma estándar.

Answer 1

Explanation:

The total area of ​​the prism: A = 2 [3h² + 21h + 24]

The volume of the prism: V = h³ + 11h² + 24h

The area of ​​a rectangular prism is calculated by knowing the sides of the rectangular base (a and b) and its height (h)

A = 2 (ab + ah + bh)

The volume of a rectangular prism is calculated as the product of its dimensions:

V = a * b * h

b- a = 5 ⇒b = 5 + a