Find the lateral area and surface area of the prism.

The lateral area of the prism : 180

The surface area of the prism : 1740

Step-by-step explanation:

LA = Lateral area

P = perimeter

H = Height

The perimeter of the would be 12 + 5 + 13 = 30 and the height would be 6.

30 x 6 = 180

S = Surface area

P = perimeter

H = height

B = area of base

(30)(6) + 2(780) = 1740

, and

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

18.75 gallons

step-by-step explanation: