For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3
Answer:
The length of the shorter piece=0.35 m
Step-by-step explanation:
Let the lengths be as follow;
Shorter piece=x
Longer piece=15 cm longer than twice shorter piece(x)
Since 1 m=100 cm, 15 cm=15/100=0.15 m
Longer piece= (2×x)+0.15=2x+0.15
Total length=1.2 m
Total length=shorter piece+longer piece
Replacing;
1.2=x+2x+0.15
3x=1.2-0.15
3x=1.05
x=(1.05/3)=0.35
The length of the shorter piece=x=0.35
Answer:
8
Step-by-step explanation:
96n = 520 + 31n
65n=520
n=8
Hope this helps :)
Answer:
7/2
Step-by-step explanation:
Common ratio can be found by dividing the 2nd term by the first
r = 48/6
r = 8
an = a1 * r^(n-1)
n = term to find = 8
a1 = first number = 6
r = common ratio = 8
now we sub
a(8) = 6 * 8^(8-1)
a(8) = 6 * 8^7
a(8) = 6 * 2097152
a(8) = 12582912 <==
