Answer:
Volume of the prism is 648
Step-by-step explanation:
Given:
Base of the prism is rectangular in shape
Height of the prism = 6 cm
Base length of the prism= 12 cm
Base width of the prism= 9 cm
To Find:
Volume of the prism=?
Solution:
Volume of the prism ,
V= Base area of the prism x Height of the prism
Here in the figure base of the prism is in Rectangular form
So the base area of the prism = area of the rectangle
We know that the area of the rectangle is = length x height
Substituting the values
Area of the Rectangle = 12 x 9
Area of the Rectangle = 108
So the are of the base of the prism is 108
Now
Volume of the prism,
V= 108 X 6
V= 648
Answer:
-7.25x-7.4
Step-by-step explanation:
-0.75x-6.5=-7.25x -3-4.4=-7.4
A = 2 a² + 2 a b
2 a² + 2 a b = 147/2
a² + a b = 36.75
a b = 36.75 - a²
b = ( 36.75 - a² ) / a
V = a² * b
V = a² * ( 36.75 - a² ) / a
V = 36.75 a - a³ ( maximum of the volume is when V` = 0 )
V` = 36.75 - 3 a²
36.75 - 3 a² = 0
3 a² = 36.75
a² = 36.75 : 3
a² = 12.25
a =√12.25
a = 3.5 ft
b = 24.5 / 3.5 = 7 ft.
Answer: The depth of the shelter for which the space inside is maximized is 3.5 ft.
Answer:
x=24
Step-by-step explanation:
Step 1: Add 3 to both sides: 1/2x-3+3=9+3
Simplify that: 1/2x=12
Step 2: Multiply both sides by 2: 1/2x*2=2*12
Simplify: x=24
Hope this helped! :)