Question

The edge of each cube used to build this rectangular prism is 1/4 centimeter long. Which equation shows the volume of the prism, in cubic centimeters?

Answer 1

The volume of the prism is 1/64 cm³.

Step-by-step explanation:

The volume of a rectangular prism can be found by multiplying the length, width, and height of the prism. In this case, the length, width, and height of the prism are all equal to the edge length of the cube, which is 1/4 centimeter.

So, the equation for the volume of the prism is:

Volume = (1/4 cm) * (1/4 cm) * (1/4 cm)

Simplifying:

Volume = 1/64 cm³

Therefore, the correct equation for the volume of the prism is Volume = 1/64 cm³.

Answer 2

the complete question in the attached figure

we know that
the rectangular prism has 2x3x3 boxes.
Each small box has a dimension of 1/3 in all sides.
So
[the volume of the prism]= (3/3)* (2/3)* (3/3)
[the volume of the prism]= (18/27)--------> 2/3 in³

the answer is
the volume of the prism in cubic inches is 2/3
see the attached figure