Question

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?

Answer 1

Answer:

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

Step-by-step explanation:

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

$V = \frac{1}{2}\cdot b\cdot h \cdot l$ (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:

$V = \frac{1}{2}\cdot b\cdot h \cdot l$

$V = 33.75\,in^{3}$

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