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
Can you please post the image.
<h3>
Answer:</h3>
After 16 downloads the charges will equal each other.
<h3>
Step-by-step explanation:</h3>
First set up an equation
x = Downloads
12 + 1x = 5 + 1.5x
Solve
12 + 1x = 5 + 1.5x <- Rewrite your equation
-5 -5 <- Subtract 5 from both sides
8 + 1x = 1.5x <- Simplify
-1x -1x <- Subtract 1 from both sides
8 = 0.5x <- Simplify
8 = 1/2x <- Convert 0.5 to a fraction to make the next step easier
16 = x <- Multiply both sides by 2 to divide by
a fraction