diheheususu
contestada

A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in. The prism is filled with cubes that have edge lengths of 1/2 in.How many cubes are needed to fill the rectangular prism

Respuesta :

Solution:

Step-1: Find the volume of the rectangular prism.

  • Volume of rectangular prism: LBH
  • => Volume of rectangular prism: (10)(2)(3 1/2)
  • => Volume of rectangular prism: (10)(2)(3.5)
  • => Volume of rectangular prism: (2)(35)
  • => Volume of rectangular prism: 70 inΒ³

Step-2: Find the volume of the small cube.

  • Volume of cube: LΒ³
  • => Volume of cube: (1/2)Β³
  • => Volume of cube: (1Β³/2Β³)
  • => Volume of cube: (1/8)

Step-3: Divide.

  • 70 Γ· 1/8
  • => 70 x 8
  • => 560 cubes

Thus, 560 cubes are needed to fill the rectangular prism.