Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.
volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3
Now let's double it
volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3
So we see that by doubling the dimensions we multiply the volume by a factor of 8. Let's do that for your volume, 3.5 m^3
3.5 x 8 = 28 m^3
Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 (
+
i )
= 64 (
(1 + i) )
= 32
(1 + i)
= 32
+ 32
i
Answer:
-539.25
Step-by-step explanation:
(w^2x−3)÷10⋅z
w=−9, x = 2.7, and z=−25
((-9)^2*2.7−3)÷10⋅(-25)
Parentheses first
The exponent in the parentheses
(81*2.7−3)÷10⋅(-25)
Then multiply
(218.7−3)÷10⋅(-25)
Then subtract
(215.7)÷10⋅(-25)
Now multiply and divide from left to right
21.57*(-25)
-539.25
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
Step-by-step explanation: