A square shaped pyramid container is shown below in the figure.
If each side of its square(a) is reduced by 30% and its height(h) is increased by 30%, find the change in volume of the container.
A
-15.12%
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B
+36.3%
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C
+15.12%
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D
-36.3%
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Solution
The correct option is D -36.3% For the given figure, Volume of container =13×area of base×height
Area of base =a2 ∴Volume of container(V) =13×a2×h
Since each side decreases by 30%,
New side length = 0.7a
Similarly,
Since height increases by 30%,
New height = 1.3h New volume of the container (V1) = 13×(0.7a)2×1.3h =0.637V
Change in % of volume =New volume of the container - Initial volumeInitial Volume×100