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
2 answers:
Solution:
<u>Step-1: Find the volume of the rectangular prism.</u>
- 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 in³
<u>Step-2: Find the volume of the small cube.</u>
- Volume of cube: L³
- => Volume of cube: (1/2)³
- => Volume of cube: (1³/2³)
- => Volume of cube: (1/8)
<u>Step-3: Divide.</u>
- 70 ÷ 1/8
- => 70 x 8
- => 560 cubes
Thus, 560 cubes are needed to fill the rectangular prism.
Answer:
2.5
Step-by-step explanation:
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