What is the volume of the prism below length 14 width 7 height 4

To find the volume of the prism, use the formula:

v = (1/2)(a)(c)(h)

a = height of the triangle

c = base of the triangle

h = side of the rectangle (not connected to the triangle).

1/2(14 x 7 x 4) = V

Simplify. Follow PEMDAS

1/2(392) = V

Simplify. Multiply 1/2 with 392 (or divide by 2)

392(1/2) = V

392/2 = V

V = 196

196 is your volume of the prism.

hope this helps

answer

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step-by-step explanation:

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for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for