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EleoNora [17]
3 years ago
13

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 uni

t and the base area is 15 square unit, what is the height of the chest? 124 unit 1124 units 112 unit 1112 units
Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

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

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