Each book is the same size is sold he knows the area of the base of one book is 22 1/2 in.² in each book is 3/4 inches thick the volume of a stack of nine bucks is blank cubic inches

Respuesta :

Answer:

The volume of a stack of nine bucks is[tex]\frac{1,215}{8}[/tex]cubic inches

Step-by-step explanation:

Area of the base of one book , A= [tex]22 \frac{1}{2} inch^2=\frac{45}{2} inch^2[/tex]

Height of 1 book = h = [tex]\frac{3}{4} inches[/tex]

If nine books are stacked together then height of the stack will be :H

H = [tex]9\times \frac{3}{4} inches=\frac{27}{4} inches[/tex]

So, volume of the stack = V

V = Area of the base × H

Area of base = area of base of the 1 book = A

[tex]V=A\times H=\frac{45}{2} inch^2\times \frac{27}{4} inches=\frac{1,215}{8}inch^3[/tex]

The volume of a stack of nine bucks is[tex]\frac{1,215}{8}[/tex]cubic inches