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You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space is there inside the rectangular prism ( i.e. how much space is there between the prism and the globe ) ? Hint Volume Rectangular Prism is L x W x H

User Goe
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1 Answer

4 votes

Answer:

The empty inside the box is 12,870 cubic centimeters, approximately.

Explanation:

Givens

  • The diameter of the globe (sphere) is 30 centimeters,
  • The box must has dimensions 30x30.

We need to find each volume to subtract them.


V_(box)=(30cm)^(3)= 27,000 \ cm^(3)


V_(sphere)=(4)/(3) \pi (15cm)^(3) \approx 14,130 \cm^(3)

The difference betweem the box and the sphere is


\Delta V=27,000 - 14,130 = 12,870 \ cm^(3)

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

User JhonnyTawk
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8.2k points
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