Answer :
the volume of the box is l*w*h, or in this case, l*w*10, and also the volume is 360. so, 10lw=360, meaning l*w=36, so we are looking for whole number factors of 36.
length: 1 2 3 4 6 9 12 18 36
width:36 18 12 9 6 4 3 2 1
there are a total of 9 possible ways to make the base of the box so 9
length: 1 2 3 4 6 9 12 18 36
width:36 18 12 9 6 4 3 2 1
there are a total of 9 possible ways to make the base of the box so 9
Answer:
The number of boxes that can be made are:
9
Step-by-step explanation:
The volume of a box is given to be: 360 cubic inches.
Height(h) of a box is: 10 inches.
Let the length and the width is denoted by l and w respectively.
Hence, the volume is given by:
Volume=l×w×h=360
l×w×10=360
l×w=36
Hence, the possible dimensions are:
Length(l) 1 2 3 4 6 9 12 18 36
Width(w) 36 18 12 9 6 4 3 2 1
Hence, the number of such boxes possible are : 9
Since there are possible 9 dimensions possible of a box.
