Answer:
1428 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is 
, where V represent volume, l is the length, w is the width, and h is the height.
You are given that the length is 12 inches, the width is 7 inches, and the height is 17 inches.
Solve.
V = 12 * 7 * 17
V= 1428 in³
Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer:
17
Step-by-step explanation:
_4 to +3 = 7
3 to 10 =7
thus the sequence is 7
the answer is 10+7=17
2x dx/dt +2y dy/dt = 0
<span>x dx/dt + y dy/dt = 0 </span>
<span>9*4 + 12 dy/dt = 0 </span>
<span>dy/dt = - 3 ft/sec </span>
