Answer:
5400 cubes can be fit into the prism.
Step-by-step explanation:
We are given the dimensions of prism as:
5 units by 5 units by 8 units i.e. 5 units×5 units×8 units.
Hence, the volume of the prism is given by:
Volume of prism=5×5×8=200 cubic units
Also the edge length of cube is given by= 1/3 unit.
Hence volume of 1 cube=
Hence volume of 1 cube= (1/27) cubic units.
Let 'n' cubes can be fitted into the prism.
Hence we have the relation as:
Volume of prism=n×Volume of 1 cube.
200=n×(1/27)
n=200×27
n=5400
Hence 5400 cubes can be fitted into the prism.
<h2><u><em>
NUMBER THREE</em></u></h2>
Answer:
x>-5
Step-by-step explanation:
x-7>-12
Add 7 to each side
x-7+7>-12+7
x> -5
A=1/2bh
b=6
a=36
36=1/2(6)(h)
36=3h
divide both sides by 3
12=h
height=12 inches
answer is D