Question

If the volume of the prism is 96 cubic inches, what is the height?
A) 4 inches
B) 8 inches
C) 12 inches
D) 14 inches

Answer 1

Answer:

A prism volume is V=Sbase*h,

thus h=V/Sосн. So, the height h = 96/Sbase.

Step-by-step explanation:

As the area of the base (Sbase) is not specified, height cannot be calculated in this case.

Answer 2

Answer:

C) 12 inches

Step-by-step explanation:

When we say prism, we refers to a triangular prism, that is, a prism with a triangle as its base.

The volume for a prism is

$V=Bh$

Where $V$ is volume, $B$ is the area of the base and $h$ is the height.

Now, assuming the area of the base is 8 square inches, we have

$V=Bh\\96=8h\\h=\frac{96}{8}=12$

Therefore, the height is 12 inches, the right answer is C.