Question

A sculptor wants to create a statue. she goes to a quarry to buy a block of marble. she finds a chip of marble on the ground. the volume of the chip is 15.3 cm^3. the mass of the chip 14.3 grams, the sculptor purchases a block of marble 30.0-by-40.0-100.0 cm. use a proportion to find the mass of her block of marble.

Answer 1

we know that

the volume of the chip is 15.3 cm^3. the mass of the chip 14.3 grams

so

Step 1

Find the volume of a block of marble 30.0-by-40.0-by 100.0 cm

the volume is equal to

$V=30*40*100=120,000\ cm^{3}$

Step 2

Find the mass of a block of marble

by proportion

$\frac{14.3}{15.3}\frac{gr}{cm^{3}} = \frac{x}{120,000}\frac{gr}{cm^{3}}\\\\ 15.3*x=120,000*14.3\\\\x= \frac{120,000*14.3}{15.3}$

$x=112,156.9\ gr$

therefore

the answer is

$112,156.9\ gr$