Imagine that you have gelatin cut into three cubes: the length of a side of cube
ID: 1289834 • Letter: I
Question
Imagine that you have gelatin cut into three cubes: the length of a side of cube A is a , the side of cube B is double the side of A , and the side of cube C is three times the side of A.
Determine the volumes of the cubes.
Express your answers in terms of a separated by commas.
Determine the surface areas of the cubes.
Express your answers in terms of a separated by commas.
Determine the cross-sectional areas of the cubes.
Express your answers in terms of a separated by commas.
Determine the masses of the cubes in terms of the density of gelatin ? .
Express your answers in terms of a and ? separated by commas.
Explanation / Answer
Side of 1st cube = a
Side of 2nd cube=2a
Side of 3rd cube = 3a
Volume of the cubes = a3 , 8a3 , 27a3
Surface areaof cube = 6a2 , 24a2 , 54a2
Cross sectional areas of the cubes = a2 , 4a2 , 9a2
density = mass/vol.
mass = density* vol.
let density = ?
masses of the cubes in terms of the density: = ?a3 , ? 8a3 , ?27a3