Photo attached

which expression is *not* equal to the volume of the prism?

a) 5+4+2 cubic cm

b) 5×(4×2) cubic cm

c) (5×4)×2 cubic cm

d) 5×4+5×4 cubic cm

The answer is A.

Step-by-step explanation

You have the find the volume of the prism. The formula to find the volume of a prism is V=Bh. A capital B in a formula means the area of the base. So you have to find the area of the base of the prism, the are of the base formula is A=bh (2 times 4). Now you have to area of the base you have to multiply it by the height of the prism. The height of the prims is the distance between the two bases. Which in this case is 5 cm. So (2 times 4 = 8) times 5 = 40. The only equation in the answer choices that doesn't equal 40 is A. Because 5+4+2= 11

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺