A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area is 439.2. The height of the base triangle is 6.9 and each side is 8. What is the height of the box?

h = 16 unit

Step-by-step explanation:

The formular for the surface area of a triangular prism is given as,

A = ab+3bh Equation 1

Where A = surface area of the triangular prism, a = height of the base triangle, b = base of the triangle, h = height of the box.

make h the subject of the equation

h = (A-ab)/3b Equation 2

Given: A = 439.2, a = 6.9, b = 8

Substitute into equation 2

h = [439.2-(6.9*8)]/(3*8)

h = (439.2-55.2)/24

h = 16.

Hence the height of the box is 16 unit

13.33%

say 50 oranges, then 100 apples

80 are red, 20 are yellow

total fruit = 150

20chances out of 150 for yellow

20/150 = 13.33%

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.