asnodg4
contestada

The dimensions of a rectangular prism are shown below:
1
Length: 1 feet
Width: 1 foot
Height:
2 21
feet
The lengths of the sides of a small cube are a foot each.
Part A: How many small cubes can be packed in the rectangular prism? Show your
work. (5 points)
Part B: Use the answer obtained in part A to find the volume of the rectangular prism
in terms of the small cube and a unit cube. (5 points)

Respuesta :

The correct question is;

dimensions of a rectangular prism as shown below: Length:2[tex]\frac{1}{4}[/tex] feet. Width: 1 foot. Height:1

Part A: How many small cubes can be packed in a rectangular prism? Show your work.

Part B: Use the answer obtained in part A to find the volume of a rectangular prism in terms of the small cube in unit cube  

A) The number of small cubes can be packed in a rectangular prism is;

180 small cubes can be packed in the rectangular prism.

B) The Volume of the rectangular prism in terms of the small cube and a unit cube is;

Volume = 180 cubes

Formula for volume of a rectangular prisms is;

V = Length Ă— width Ă— height

  • a) We are given;

Length = 2Âą/â‚„ ft

Width = 1 ft

Height = 1Âą/â‚„ ft

Thus;

Volume of prism = 2Âą/â‚„ Ă— 1 Ă— 1Âą/â‚„ = [tex]\frac{45}{16}[/tex] ftÂł

  • We are told a side of the cube is Âą/â‚„ ft. All sides of a cube are equal.

Volume of cube = Âą/â‚„ Ă— Âą/â‚„ Ă— Âą/â‚„ = [tex]\frac{1}{64}[/tex] ftÂł

Thus, number of cubes that can be packed inside the prism = [tex]\frac{45}{16}[/tex] Ă· [tex]\frac{1}{64}[/tex]

number of cubes that can be packed inside the prism = 180 cubes

  • b) Since 180 cubes can be packed into the prism, then volume in terms of the small cubes would be; V = 180 cubes

Read more at; https://brainly.com/question/22443589

Otras preguntas