Question

A right rectangular prism is sliced parallel to the base. What is the area of the resulting two-dimensional cross-section?

Answer 1

Answer:

The area of the resulting two-dimensional cross-section is 12 cm².

Step-by-step explanation:

The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:

$A_{cs} = A_{r} = a*b$

Where:

$A_{cs}$: is the area of the cross-section

$A_{r}$: is the area of a rectangle

a: is the length of one side of the rectangle = 4 cm

b: is the length of the other side of the rectangle = 3 cm

Hence, the area of the cross-section is:

$A_{cs} = a*b = 4 cm*3 cm = 12 cm^{2}$      

Therefore, the area of the resulting two-dimensional cross-section is 12 cm².      

I hope it helps you!