Answer:
160
Step-by-step explanation:
- 4(1/2)x - (3/7) = (1/4)
- 4(1/2)x = (1/4) + (3/7)
- (9/2)x = (7+12)/28
-(9/2)x = 19/28
x = (19/28) * 2 / 9
x = (19/14) / 9
x = 19 / (14*9)
x = 19 / 126
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
15.8 I believe. Since 20 isn’t a option 15 is the closest. Good luck I have good faith I have you the right answer
