The area of the square hole is 8 square centimeters. The volume of a cube shaped block is 64 cubic centimeters. Which edge length can you find?

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Question:

The area of the square hole is 8 square centimeters. The volume of a cube shaped block is 64 cubic centimeters. Which edge length can you find?

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case a) The area of the square hole is 8 square centimeterswe know thatthe area of a square is equal to[tex]A=b^{2}[/tex]whereb is the length side of the squarein this problem we have[tex]A=8\ cm^{2}[/tex]Find the length side b[tex]b^{2} = 8 \\b= \sqrt{8} \ cm\\b= 2\sqrt{2} \ cm[/tex]the answer Part a) isthe length side of the square is [tex]2\sqrt{2} \ cm[/tex]Part b) The volume of a cube shaped block is 64 cubic centimeterswe know thatthe volume of a cube is equal to[tex]V=b^{3}[/tex]whereb is the length side of the cubein this problem we have[tex]V=64\ cm^{3}[/tex]Find the length side b[tex]b^{3} = 64 \\b= \sqrt[3]{64} \\b= 4\ cm[/tex]thereforethe answer Part b) isthe length side of the cube is [tex]4\ cm[/tex]

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