Question

A square boat with a mass of 544 g is placed in a tank of corn syrup. The corn syrup has a density of 1.36 g/mL. The boat has a base that measures 8 cm by 8 cm. How far will the boat sink into the corn syrup?

Answer 1

Answer:

6.25 cm

Explanation:

Density is defined as mass per unit volume of a substance hence expressed as

d=m/v

Where m is mass of a substance and v is the volume while d represent density.

Making v the subject of formula then

V=m/d

Substituting 544 g for m and 1.36 g/mL for d then

V=544/1.36=400ml

Since 1ml=1cm³ then also 400 ml equals to 400cm³

Volume is given by lwh

V=lwh where l is length, w is width and h is height

Making h the subject of formula

h=V/lw

Substituting 400cm³ for v, 8cm for l and 8cm for w then

h=400/(8*8)=6.25cm