Question

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 524 cubic unit and the base area is 15 square unit, what is the height of the chest? 124 unit 1124 units 112 unit 1112 units

Answer 1

Answer: 34.93 units

Step-by-step explanation:

The volume of a rectangular prism can be calculated with this formula:

$V=Bh$

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

Since we need to find the height, we must solve for "h":

$h=\frac{V}{B}$

We know that the volume of that wooden chest (which is in the shape of a rectangular prism) is 524 cubic units and the base area is 15 square units. Then:

$V=524units^3\\B=15units^2$

Subsitituting these values into $h=\frac{B}{V}$, we get that the height of the chest is:

 $h=\frac{524units^3}{15units^2}=34.93units$