Question

Please help me!! :(

What is the height of the prism if the area of the base is 42 square millimeters and the volume of the prism is 462 cubic millimeters?

10 mm
11 mm
12 mm
13 mm

Answer 1

Height of the prism is:

11 mm

Explanation:

Volume of a prism is given by

V=Bh , where B is the base area and h is the height.

Here, we are given V=462 cubic mm

and B=42 square mm

Putting values of V and B in above equation, we get

462=42×h

⇒ h=462/42

⇒ h=11

Hence, height of the prism is:

11 mm

Answer 2

Divide the total volume by the given area:

462 / 42 = 11

The height is 11 mm.