3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.

Respuesta :

Answer:

I'm not sure about a and c, but the answer for b is 7/2 or 3.5

Step-by-step explanation:

1/2 x 2 = 1     1 x 7/2 = 7/2 or 3.5 :)

a) The edge length of the largest unit cube that you could use to pack the prism would be 1/2. b) 3.5 .c)The number of cubes with the edge length from part (a) will fit into the prism is 28.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,

then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A rectangular prism has dimensions of 1/2, 2, and 7/2 in.

a) The edge length of the largest unit cube that you could use to pack the prism would be 1/2.

b) The volume of a rectangular prism

[tex]V = a\times b \times c \: \: unit^3[/tex]

V = 1/2 x 2 x 7/2

  = 7/2

  = 3.5

c) Let n be the number of cubes

The volume of the cube = 0.125

0.125 x n = 3.5

n = 28

The number of cubes with the edge length from part (a) will fit into the prism is 28.

Learn more about the volume of a right rectangular prism here:

https://brainly.com/question/21308574

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