The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
Answer:

Step-by-step explanation:
Given that,
A sequence 352,345,338.
First term = 352
Common difference = 345-352 = -7
We need to find the 37th term of the sequence.
The nth term of an AP is given by :

So, the 37th term of the sequence is 100.
Answer:
5 feet
Step-by-step explanation:
P = 2(w + l)
P = 34
l = w + 7
34 = 2 (w + w + 7)
34 = 2w + 2w + 14
34 - 14 = 4w
20 = 4w
w = 5 feet
Since l = w + 7
l = 5 + 7
l = 12 feet
$137.5 is left from spending 45% of $250
Answer:
c=8
Step-by-step explanation:
Where do I start when I'm trying to solve a word problem? ... 44=A+B+C=(32C)+3C+C=112C. Multiplying both ends by 211 we find. C=8 ... Mac's collection contain 8 more than twice as many as Ted's.