A cube with a surface area of 96 square centimeters is shown. eight cubes like the one shown are combined to create a larger cube. what is the volume, in cubic centimeters, of the new cube?

Question

Mathematics

Dashawn Fitzgerald

6 November, 21:45

A cube with a surface area of 96 square centimeters is shown. eight cubes like the one shown are combined to create a larger cube. what is the volume, in cubic centimeters, of the new cube?

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Kai · Answer 1

To find the volume of these 8 cubes you will use the surface are that is given to find the length of one edge.

If the surface area if 96 square cm, that means each side measures 16 square cm (96/6) because there are 6 congruent faces.

These means the side length (each edge) is 4 cm long. Use this to find the volume and multiply by 8.

V = lwh

4 x 4 x 4 x 8

V = 512 cubic cm

The total volume is 32768 cubic centimeters.