Answer:
3 inches
Step-by-step explanation:
Given that the volume of the rectangular prism or a cylinder needs to be cubic inches. The container being made is a rectangular prism with a height of inches and length of inches.
A rectangular prism is a polyhedron with six rectangular faces.
Therefore the required width (w) needed to produce a container with a volume of cubic inches is given by:
volume of a rectangular prism = height * width * length
Substituting:
= * * w
258.75 = 11.5 * 7.5 * w
w = 258.75 / (11.5 * 7.5)
w = 3 inches
The required width is 3 inches
To find surface area, we can use the equation:
SA=2lw+2wh+2lh, where:
l=10 in
w=3 in
h=7 in
SA=(2)(10)(3)+(2)(3)(7)+(2)(10)(7)
SA=60+42+140
SA=242 in²
Answer:
In this case the Commutative Property is being used.
3x-5y+6z=4
-3x+9y-15z=15
4y-9z=19
-2x+6y-10z=10
2x- 4y+ z= 13
2y-9z=23
4y-9z=19
-2y+9z=-23
2y=-4
y=-2
3x+10+6z=4
x - 6 +5z=-11
3x+6z=-6
x +5z=-5
3x+6z=-6
-3x-15z=33
-9z=27
z=-3
x+6-15=-5
x-9=-5
x=4