Find the volume of a figure made up of cubes and parallelepipeds if the area of each face of the cube is 16 cm

Find the volume of a figure made up of cubes and parallelepipeds if the area of each face of the cube is 16 cm square, and the volume of the parallelepiped is half the volume of the cube.

To solve this problem, remember that a cube is a polyhedron, each face of which is a square. Each side of the cube: length, width and height are equal to each other. To calculate the volume of a cube, it is necessary to raise the length of its side to the third power. Let’s calculate the volume of a cube with a side of 16 cm.

V = 16 * 16 * 16 = 4096 cubic centimeters.

Let’s calculate the volume of a rectangular parallelepiped.

4096/2 = 2048.

Let’s calculate what the volume of the figure is.

2048 + 4096 = 6144 cubic centimeters.

Answer: 6144 cubic meters. cm.



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