MATH SOLVE

4 months ago

Q:
# You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble. The original statue in Vienna is 7 feet tall. How many cubic feet of marble are in the original statue? (write the number only and round to the nearest hundredth place)

Accepted Solution

A:

Answer:0.08 cubic feet.Step-by-step explanation:You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble. The original statue in Vienna is 7 feet tall. First we will convert this to inches as one relation is given in inches.1 feet = 12 inches7 feet = [tex]12\times7=84[/tex] inchesLet the amount of marble used for 84 inches statue be = xWe can relate both the conditions in the following way:[tex]\frac{10}{16} =\frac{84}{x}[/tex] [tex]10x=16\times84[/tex][tex]10x=1344[/tex]x = 134.40 cubic inchesNow, 1 cubic inch = [tex]\frac{1}{1728}[/tex] cubic footSo, 134.40 cubic inches = [tex]\frac{134.40}{1728}[/tex] cubic foot= 0.0777 cubic feet rounding to 0.08 cubic feet.