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A box in the shape of a rectangular prism is approximately 9 inches long,has an equilateral triangle shaped base with side lengths of 3 inches. The height of the triangular shaped base is 2.5 inches. How many cubic inches of styrofoam peanuts can can be place inside the container?

User Necolas
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1 Answer

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Answer:

33.75 cubic inches of styrofoam can be placed inside the container.

Explanation:

Based on given information, the volume of the prism (
V), in cubic inches, is determined by using this formula:


V = (1)/(2)\cdot b\cdot h \cdot l (1)

Where:


b - Base of the triangular face, in inches.


h - Height of the triangular face, in inches.


l - Length of the prism, in inches.

If we know that
b = 3\,in,
h = 2.5\,in and
l = 9\,in, then the volume of the prism is:


V = (1)/(2)\cdot b\cdot h \cdot l


V = 33.75\,in^(3)

33.75 cubic inches of styrofoam can be placed inside the container.

User PaulEdison
by
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