Question

Find the height of a cuboid whose base area is 180 cm2 and volume is 900 cm3.

Answer 1

CUBOID :
base area,πr² = 180 cm²
volume = 900 cm³
height,h = ?

Volume of a cuboid = base area × height
900 = πr²h
900 = 180×h
h = 900/180
h = 5 cm

height of cuboid = 5 cm

Answer 2

Given:

• Base area = 180 $cm^2$
• Volume, (v) = 900 $cm^3$

To Find:

• Height of the cuboid, (h).

Solution:

• Here, the base area, (length*breadth)  = π$r^2$
• We know that,
• Volume of the cuboid = (length*breadth*height)
• ⇒ volume of the cuboid = base area * height
• ⇒ v = a*h
• Substituting the values in the above formula we get,
• ⇒ 900 = 180*h
• Rearranging the formula to find the height of the cuboid.
• ⇒ h = 900/180 = 5
• Height, h = 5 cm

∴ The height of the cuboid, h = 5 cm.