We need to convert the volume to cubic centimeters since the cross-sectional area is given in square centimeters.
1 m = 100 cm
Volume = 216 m^3 = 216000000 cm^3
Let the height be h, length be l, and width be w of the cuboid.
Cross-sectional area = lw = 48 cm^2
Since the cross-sectional area is equal to length times width, we can express the length in terms of the width:
l = 48/w
Volume = lwh = (48/w)wh = 48h cm^3
We can now substitute the volume value:
48h = 216000000
h = 4500000 cm
Therefore, the height of the cuboid is 4500000 cm or 45 km.
What is the height of a cubiod whose cross-sectional area is 48cm square and volume is 216m cube
1 answer