Question

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

Answer 1

Answer:

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

Step-by-step 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.

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

$V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}$

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.