18. A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 8 square centimeters. The valume of a cube-shaped block is 64 cubic centimeters. Part A Which edge length can you find? Explain. PART 8 Will the block fit in the square hole? Explain.
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To find the edge length of the cube-shaped block, you can use the formula for the volume of a cube: Volume = edge length³. Since the volume is 64 cubic centimeters, you can find the edge length by taking the cube root of 64, which is 4 centimeters. This means each side of the cube is 4 cm long! Now, for the second part, we need to consider the hole. The area of the square hole is 8 square centimeters, and to find the side length of the square hole, you take the square root of 8, which is approximately 2.83 centimeters. Since the cube's edge length (4 cm) is greater than the hole's side length (2.83 cm), the block will not fit through the square hole. It's a classic case of "small hole, big block"!
