Answer:
D. 100 cubic units
Step-by-step explanation:
There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.
10 x 10 =100
Answer:
B. 60 cubic units
Step-by-step explanation:
Formulas for a cube:
The volume of a cube:
V = a3
The surface area of a cube:
the area of each face (a x a) times 6 faces
S = 6a2
Face diagonal of a cube:
By the Pythagorean theorem, we know that
f2 = a2 + a2
Then f2 = 2a2
solving for f we get
f = a√2
Diagonal of the solid cube:
Again, by the Pythagorean theorem, we know that
d2 = a2 + f2
substituting f into this equation we get
d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2
solving for d we get
d = a√3
