Question

Jack made a candle in the shape of a square prism. The candle has a heightof 32 centimeters and its volume is 512 cubic centimetersWhat is the length of each side of its square base?

Answer 1

The volume of the square prism = height * area of the base

Given:

Volume = 512 cubic centimeters

And height = 32 cm

So,

512 = 32 * area of the base

so, area of the base = 512/32 = 16 square cm

But the base is a square

Area of the square of length x is x^2

so, x^2 = 16

x = √16 = 4

so, the length of each side of its square base = 4 cm

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The volume of the sphere = (4/3) * (pi) * r^3

So, 972 pi = (4/3) * (pi) * r^3

r^3 = (3/4) * 972 = 729

r = 9

so, the diameter = 2r = 18

part (b) : part b says if the diameter is halved, what is its volume in terms of pi

so the ne