The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. if the length and width of the base are 5 inches each, what is the height of the prism

This is the concept of geometry, for us to get the height of the prism we proceed as follows;
The lateral area=45 in^2
Lateral area=4*[length*width]
length=x in
width=5 in
thus:
45=4[5*x]
45=20x
x=45/20
x=2.25 inches long

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

the answer is 18.