Why are units of area inappropriate to measure volume? a) units of area are too small to measure volumes. b) units of area are too large to measure volumes. c) area is a two-dimensional attribute and volume is a three-dimensional attribute. d) area is a three-dimensional attribute and volume is a two-dimensional attribute.

The correct answer is option C

Step-by-step explanation:

Area is usually the planar lamina of a two dimensional figure and usually expressed in units square meter, square feet, square inches etc.

While Volume is the total space occupied by an object in a 3-D setting and is usually expressed in cubic meter, cubic feet, cubic inches etc.

A 2-D dimension can not represent a 3-D structure and thus units of area inappropriate to measure volume

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi