Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
ANSWER
EXPLANATION
The basic sine function is
The transformed sine function has equation
where a=1 is the amplitude
2π/b=2π is the period
c/b= 4 is the horizontal shift 4 units left.
d=-4 is a downward vertical shift of 4 units.
The required sine function is:
Answer:
A rectangular prism's two identical ends are rectangles, and as a result, the four sides between the ends are also two pairs of identical rectangles. Because a rectangular prism has six rectangular faces or sides, its surface area is just the sum of the six faces, and because each face has an identical opposite, you can calculate the surface area with the formula 2 * length * width + 2 * width * height + 2 * height * length, where length, width and height are the prism's three dimensions.
Find the length, width and height measurements of the prism. For this example, let the length be 12, the width be 10 and the height be 20.
Multiply the length and width, then double that product. In this example, 12 multiplied by 10 equals 120, and 120 multiplied by 2 equals 240.
Step-by-step explanation:
Hope this helps :p
Answer:
x=1
Step-by-step explanation:
anything times 1 is itself
