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A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 6 square centimeters. The volume of a cube-shaped block is 27 cubic centimeters. a. Which edge length can be found? Explain. b. Will the block fit in the square hole? Explain. a. Since 27 is a perfect cube, the length of each edge of the block can be found. Each edge is 3 centimeters long. b. The area of one face of the block is _____ square centimeters. Since this is _____ than the area of the hole, the block _____ fit in the hole

Quizzma Team

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 6 square centimeters. The volume of a cube-shaped block is 27 cubic centimeters.
a. Which edge length can be found? Explain.
b. Will the block fit in the square hole? Explain.

a. Since 27 is a perfect cube, the length of each edge of the block can be found. Each edge is 3 centimeters long.
b. The area of one face of the block is _____ square centimeters. Since this is _____ than the area of the hole, the block _____ fit in the hole.




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    1 Answer

    1. Quizzma Team

      a. Since 27 is a perfect cube, the length of each edge of the block can be found. Each edge is 3 centimeters long.

      b. The area of one face of the block is 9 square centimeters (since 3 cm × 3 cm = 9 cm²). Since this is greater than the area of the hole (6 cm²), the block will not fit in the hole. The face of the block is too large to go through the square hole.

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