In a rectangular parallelepiped height 5 cm, volume 105 cm3. Find the volume of a rectangular

In a rectangular parallelepiped height 5 cm, volume 105 cm3. Find the volume of a rectangular parallelepiped, if the height is increased by 80% with the same base area.

V = S * h = 105 cm ^ 3 is the formula for the volume of a rectangular parallelepiped, where
S – base area,
h = 5 cm – the height of the parallelepiped.
Find the area of the base:
V = S * h, then S = V: h = 105: 5 = 21 cm.
Let’s find a new height.
First, find 80% of the starting height:
80% of 5 = 5: 100 * 80 = 0.05 * 80 = 4 cm.
h = 5 + 4 = 9 cm – new height after increase.
V = S * h = 21 * 9 = 189 cm ^ 3 – the volume of the parallelepiped after increasing the height.
Answer: 189 cm ^ 3.



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