Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
To solve the system of equations by substitution:
<u>2x+y=-2</u>
<u>3x-y=7</u>
first solve for y:
2x+y=-2
y=-2x-2
Then plug ^^ equation for y in the other equation
3x-(-2x-2)=7
5x+2=7
5x=5
x=1
Then solve for y:
2(1)+y=-2
y=-4
Final answer is x = 1 and y = -4
Hope it helps!
Answer:
0.06km
Step-by-step explanation:
15÷1000=0.0015
0.0015×4=0.06