Answer:
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
Multiply 8 by 2.
Multiply 16 by 4.
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
Constant of variation is 24.
Step-by-step explanation:
Inverse variation states that a relationship between two variables in which the product is remain constant.
If one variable increases then, the other one decreases in proportion so that the product is unchanged,
if y is inversely proportional to x i.e or
;where k is the constant of variation.
It is given that 3 identical water pumps takes 8 hours to fill a pool,
since, it will take less time with more pumps, so it is an inverse variation.
By definition of inverse variation;
Substitute the values to solve for k;
Multiply by 3 to both sides we get;
Simplify:
k = 24
Therefore, the constant of variation is, 24