Question

Select the correct answer.

Answer 1

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$It is the area of the base of the prism

h: It is the height

$A_ {b} = w * l$

Where:

w: is the width

l: is the length

According to the data of the statement we have:

$w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3$

Substituting the data we have:

$A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}$

We choose the positive value: $h = 8$

So the height is$8 \ in$

Answer:

$8 \ in$