SOLUTION: A rectangular piece of cardboard is to be formed into an uncovered box. The piece of cardboard is 2 centimeters longer than it is wide. A square that measures 3 centimeters on a si
Algebra.Com
Question 964452: A rectangular piece of cardboard is to be formed into an uncovered box. The piece of cardboard is 2 centimeters longer than it is wide. A square that measures 3 centimeters on a side is cut from each corner. When the sides are turned up to form the box, its volume is 765 cubic centimeters. Find the dimensions, in centimeters, of the original piece of cardboard.
width = cm
length = cm
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
The area of the bottom of the box is given by:
The length of the box is still 2 cm longer than the width.
; =;
Substitute for
Subtract 255cm^2 from each side.
Width of the box is 15cm
Length of box=width+2cm=17cm
The original cardboard is 6cm longer (3cm folded up on each end)
and 6cm wider (3cm folded up on each side)so:
= ANSWER 1: The cardboard rectangle was 23 cm long.
= ANSWER 2: The cardboard rectangle was 21 cm wide.
RELATED QUESTIONS
A rectangular piece of cardboard is to be formed into an uncovered box. The piece of... (answered by ankor@dixie-net.com)
A rectangular piece of cardboard is to be formed into an uncovered box. The piece of... (answered by checkley77)
An open box is formed from a rectangular piece of cardboard, whose length is 3 inches... (answered by texttutoring)
an open box is to be formed out of rectangular piece of cardboard whose length is 8cm... (answered by josgarithmetic)
from an open box out from a rectangular piece of cardboard those length is 6cm longer... (answered by ikleyn,josgarithmetic)
The area of a rectangular piece of cardboard is 1008cm^2. If you cut a 4 cm square from... (answered by josgarithmetic)
The area of a rectangular piece of cardboard is 1008 cm^2. If you cut a 4 cm square from... (answered by josgarithmetic)
Rick has a rectangular piece of cardboard that is twice as long as it is wide. From each (answered by checkley77,oberobic)
A square piece of cardboard is to be formed into a pizza box. The box is formed by... (answered by solver91311)