MARBLE PROBLEM

Consider a package of marbles in the shape of a
triangular prism. The cross-section of the package is
an equilateral triangle with a side length of 1.5 inches,
and the length of the package is 10 inches. What is the
diameter of the largest marble that will fit inside the
package? How many such marbles can fit within the
package?

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step-by-step explanation:

your welcome : )

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.