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The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). Which expression represents the volume of the box?​

Respuesta :

rantoni96

Answer:

V = 10a^3+91a^2+54a-792

Step-by-step explanation:

V = (2a+11) (5a-12) (a+6)

V = (10a^2-24a+55a-132)(a+6)

V = (10a^2+31a-132)(a+6)

V = (10a^3+60a^2+31a^2+186a-132a-792)

V = 10a^3+91a^2+54a-792

Answer:

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). Which expression represents the volume of the box?​

Step-by-step explanation:

Answer:

V = 10a^3+91a^2+54a-792

Step-by-step explanation:

V = (2a+11) (5a-12) (a+6)

V = (10a^2-24a+55a-132)(a+6)

V = (10a^2+31a-132)(a+6)

V = (10a^3+60a^2+31a^2+186a-132a-792)

V = 10a^3+91a^2+54a-792

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