The Total Volume is V= 8x6x18 = 864 units³ , Or 864 sugar cubes.
If we calculate V₁, the volume (or number of sugar cubes) that DOESN'T touch the sides of the box, then: V-V₁ = will give the volume (or the Cube number) of those who touch the box.
The following is in respect of the cubes that DO NOT touch the box:
The Length = 8, (or 8 cubes), becomes 6 (or 6 cubes), because already
1 is touching at the right and another is touching at the left.
The Width = 6 , (or 6 cubes), becomes 4 (or 4 cubes), because already
1 is touching at the right and another is touching at the left.
Same for the height = 18, it becomes 18-2 = 16, hence volume of the cubes that DON'T touch the box = V₁ = (8-2)(6-2)(18-2) = 384 Sugar cube
Then V-V₁ = 864 - 384 = 480 sugar cubes that TOUCH the box
sorry
Step-by-step explanation:
Answer:
B) 3x^3 + 24x^2
Step-by-step explanation:
The volume of a pyramid is 1/3 the product of the base area and the height. The base is square, so its area is the square of the side dimension.
V = (1/3)(3x)^2(x+8) = 3x^2(x +8)
V = 3x^3 +24x . . . . . matches B
Answer:
y=3 x= -5/2
Step-by-step explanation:
simultaneous equations
2x + 4y = 7 ------ eq 1
-2x + 3y = 14 --------eq2
(different signs add)
(eq 2 + eq 1)
-2x +(-2x) = 0
4y+3y = 7y
7+14 = 21
7y= 21
(divide both sides by 7)
y= 21/7= 3
2x + 4(3) = 7
2x+ 12=7
2x = 7-12
2x = -5
x= -5/2