Cuboid
Anya's box will have larger volume as compared to Terence's box
x cannot be 0 as length of square cannot be 0.
x cannot be 4.25 and has to be less than 4.25 so that there should be enough breadth of cardboard to make the box (Height of box cannot be 0)
Step-by-step explanation:
Length l = 11 in and breadth b= 8.5 in
Square of equal sizes cut from 4 corners.Let the side of square is x
so l = x + x + y where y is remaining length, b = x + x + z where z is remaining breadth.
The resultant box after cutting the corner squares will have length as y and breadth as z and height will x
In case of Anya, x = 1.5 in
so volume for Anya = V
⇒ = 1.5 × 8 × 5.5 = 66 cubic inches
In case of Terence, x = 3 in
so volume for Terence=
⇒ = 3 × 5 × 2.5 = 37.5 cubic inches
Hence, Anya's box will have larger volume as compared to Terence's box
x cannot be 0 as length of square cannot be 0.
x cannot be 4.25 and has to be less than 4.25 so that there should be enough breadth of cardboard to make the box (Height of box cannot be 0)
So X is limited to lie between 0 and 4.25 in