Answer:
The volume ratio of the enlarged prism to the original prism is equal to
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> the scale factor
x-----> the volume of the enlarged prism
y-----> the volume of the original prism
so
we have
substitute
-----> volume of the enlarged prism
the volume ratio of the enlarged prism to the original prism is equal to
Verify
-----> is correct
Answer:
x = 4
Step-by-step explanation:
42 = 5x + 5x + ( x - 3 ) + ( x - 3 )
42 = 12x - 6
48 = 12x
x = 4
Perimeter is the length around the rectangle (or any other shape). For rectangles, it's found by adding the side lengths. In this case, it required algebra to solve for x.
x - shortest side
2x - second side
x + 26 - third side
174 ft - perimeter
x + 2x + (x + 26) = 174
4x + 26 = 174 |-26
4x = 148 |:4
x = 37 ft
2x = 2(37) = 74 ft
x + 26 = 37 + 26 = 63 ft
Answer: 37 ft, 74 ft and 63 ft.
