Manuel is packing smaller boxes inside a large box. The
smaller boxes are cube-shaped and measure 6 inches
along each edge. The large box is cube-shaped and
measures 24 inches along each edge. How many
smaller boxes can Manuel fit in the large box?

Respuesta :

The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.

What is the Volume of a Cube?

Volume of a cube = a³, where a is the edge length of the cube.

Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³

Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³

Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.

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