An art design is to contain two solid silver boxes shaped as cubes. One of boxes should have sides of 11 inches and the other sides of 9 inches. Find the volume of silver required in this design.

Respuesta :

Answer: 2060 in^3

Step-by-step explanation:

9^3+11^3=2060

You can use the fact that the amount of silver needed for one cube(in volume) will be equal to the volume of that cube.

The amount of silver needed for specified designing is 2060 cubic inches.

What is the volume of a cube with length P units?

If a cube has side length of P units, then its volume is obtained as

[tex]V = P^3 \: \rm unit^3[/tex]

How to find the amount of silver to be used for specified designing?

Since for the specified designing, we need two cubes with lengths 11 inches and 9 inches respectively, thus the volume of silver needed for the production of those cubes will be equal to the  sum of the volume of both the cubes.

thus, we have:

Amount of silver needed = Volume of cube with 11 inches side + volume of cube with 9 inches side.

Amount of silver needed = [tex]11^3 + 9^3 = 1331 + 729 = 2060 \: \rm inch^3[/tex]

Thus,

The amount of silver needed for specified designing is 2060 cubic inches.

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