Question

The width of a rectangular box is 4 times its length, and its height is 6in more than its length. The volume of the box is 102in3. Use the ALEKS graphing calculator to find the length of the box. Round your answer to two decimal places.

Answer 1

Answer:

Length of the box, l = 1.80 inches

Step-by-step explanation:

Let length of the rectangular box is l

Width of the box is 4 times of its length, b = 4 l

Its height is 6 inch more than its length.

Height, h = (6 + l) inch

Volume of the box, $V=102\ in^3$

The volume of a box is given by :

$V=l\times b\times h$

$102=l\times 4l\times (6+l)$

$4l^3+24l^2-102=0$

On solving the above equation using online calculator we get,

l = 1.80 inch