Answer:
convert 3 1/3 to an improper fraction
3*3 = 9
9+1 = 10
10/3
multiply the numerator by 4
(10/3) * 4 = 40/3
40/3 = 13 1/3
Factor out the GCF of
21
b
2
c
2
from
63
b
2
c
4
+
42
b
3
c
2
.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from each term in the polynomial.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from the expression
63
b
2
c
4
.
21
b
2
c
2
(
3
c
2
)
+
42
b
3
c
2
Factor out the GCF of
21
b
2
c
2
from the expression
42
b
3
c
2
.
21
b
2
c
2
(
3
c
2
)
+
21
b
2
c
2
(
2
b
)
Since all the terms share a common factor of
21
b
2
c
2
, it can be factored out of each term.
21
b
2
c
2
(
3
c
2
+
2
b
)
The greatest common factor
GCF
is the term in front of the factored expression.
21
b
2
c
2
Answer:
90 inches cubed
Step-by-step explanation:
The formula for the volume of a pyramid is (lwh)/3, with l=length, w=width, and h=height.
V = (lwh)/3
= (5*3*18)/3
= 5*18 = <u>90 inches cubed</u>
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