Answer:
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by the exponent 2/3.
Solve for the exponent.
Add 8 to both sides.
Divide 8 into both sides.
Answer:
C = 420/h + 400
Step-by-step explanation:
Let s be the side of the square base.
Let h be the height
Volume = s*h
20 = s*h
s = 20/h
Cost of glass is
5(20/h) + 5(4* h*20/h)
= 100/h + 400
Cost of frame is
2*4(20/h) + 2*4(20/h)
= 160/h + 160/h
= 320/h
Total cost = C
C = cost of glass + cost of frame
C = 100/h + 400 + 320/h
C = 420/h + 400
