Arectangular prism has a volume of 360in^3. if the height measures 4in , which base measurements could the prism have?

a.45in. by 45in
b.6in. by 15in
c.5in by 19in
d.4in by 20in

The volume of the prism is the product of the area of its bases and the height. 
                                  V = A x h
Substituting the known values,
                                  360 in³ = A x 4 in     ; A = 90 in²
Out of all the choices given above, the dimensions of the bases that would give 90 in² as the area is letter B. 6 in by 15 in.

x=

−1

2

y+

5

2

Step-by-step explanation:

Step 1: Add -y to both sides.

2x+y+−y=5+−y

2x=−y+5

Step 2: Divide both sides by 2.

2x

2

=

−y+5

2

x=

−1

2

y+

5

2