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:
-1
Step-by-step explanation:
slope: change in y divided by change in x
y2-y1/x2-x1
-11-(-5)/4-(-2)
-11+5/4+2
-6/6
-1
Answer:
30°
Step-by-step explanation:
Answer:
THE CORRECT OPTION IS C) Δ RST
Δ UVW ; 
Step-by-step explanation:
i) ∠ WUV = ∠ TRS ( same angle = 32 )
ii)
;
Hence it is proved that
Δ RST
Δ UVW
Since p^2=p*p,
(p*p)^5 = p*p * p*p * p*p * p*p * p*p = p^10