A box with no top is to be constructed from a piece of cardboard whose length measures 5 in. more than its width. The box is to be formed by cutting squares that measure 2 in. on each side from the four corners and then folding up the sides. If the volume of the box will be 100 in.cubed, what are the dimensions of the piece of cardboard?

Step-by-step explanation:

GIVEN: A box with no top is to be constructed from a piece of cardboard whose length measures more than its width. The box is to be formed by cutting squares that measure on each side from the four corners and then folding up the sides.

TO FIND: If the volume of the box will be , what are the dimensions of the piece of cardboard.

SOLUTION:

Let the width of cardboard be

length of cardboard

As box is formed by cutting squares from corners of cardboard

length of cardboard

width of cardboard  

height of cardboard

volume of cardboard

solving we get

width of cardboard

length of cardboard

height of cardboard