Answer:
29 feet in length, 5 feet in width and 12 feet in height
Step-by-step explanation:
We have that for the volume of a quadrangular prism is:
V = l * w * h
Ie length times width times height
In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12
they tell us that the length is 24 inches more than the width, that is, l = 24 + w
replacing we have:
1740 = (24 + w) * w * 12
1740 = 12 * w ^ 2 + 288 * w
12 * w ^ 2 + 288 * w - 1740 = 0
if we calculate the root, we have w = 5 or w = -29
only works when w = 5
Thus:
l = 24 + 5
l = 29
which means that the dimensions are:
29 feet in length, 5 feet in width and 12 feet in height
