Question

6. The volume of a cube is increasing at a rate of 10 cubic cm/min. How fast is the surface area of the cube increasing when the length of the edge is 30 cm?

Answer #1

Volume of a cube having side length 'a' is given by

The volume of a cube is increasing at a rate of 10 cubic cm/min.

That is

Surface area of the cube is given by

When length of the edge is 30 cm.

That is

**Surface area is increasing at a rate of 1.33 square
cm/min.**

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How fast is the surface area increasing when the length of an edge
is 20 cm?
(2) Suppose oil spills from a ruptured tanker and spreads in a
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at a constant rate of 2 m/s, how fast is the area of the spill
increasing when the radius is 30 m?

The volume of a cube is decreasing at the rate of 360cm^3/sec at
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cm/min while the area of the triangle is increasing at a rate of 2
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changing when the altitude is 10 cm and the area is 100 square
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The
altitude of a triangle is increasing at a rate of 2.5 cm/min
while the area the triangle is increasing at a rate of 2.5 cm² per
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At what rate is the base of the triangle changing when the altitude
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b.) Based on your work and answer from part (a),is the surface
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