Question

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)

Answer 1

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 inches

7 feet = $12\times7=84$ inches

Let the amount of marble used for 84 inches statue be = x

We can relate both the conditions in the following way:

$\frac{10}{16} =\frac{84}{x}$

$10x=16\times84$

$10x=1344$

x = 134.40 cubic inches

Now, 1 cubic inch = $\frac{1}{1728}$ cubic foot

So, 134.40 cubic inches = $\frac{134.40}{1728}$ cubic foot

= 0.0777 cubic feet rounding to 0.08 cubic feet.