Question

for questions 6-7 use this diagram
question 6: standard g.gmd.1
if we want to find the area under this curve we can break it down into ______.
a. squares
b. triangles
c. circles
d. rectangles
question 7: standard g.gmd.1
the area under the curve is approximately equal to
a. a = base x height
b. the area of each rectangle added up
c. $a = \pi r^2$
d. the area of each triangle added up
question 8: standard g.gmd.1
which of the following cannot be used to find volume?
a. base
b. height
c. slant height
d. density

Explanation:

Question 6

To find the area under a curve using a Riemann sum approach (as shown in the diagram with vertical bars), we divide the region into rectangles. Squares are a type of rectangle but the general shape here is rectangles (not necessarily squares), triangles and circles don't fit the diagram's structure. So the correct option is rectangles.

The area under the curve, when approximated using the rectangles (from Question 6), is found by summing the area of each rectangle. Option a is the formula for a single rectangle, option c is for a circle, option d is for triangles (which aren't used here). So we sum the area of each rectangle.

Base, height, and slant height are used in volume formulas (e.g., prisms, pyramids, cones). Density is a measure of mass per unit volume and is not a direct measurement used to calculate volume (volume is calculated using dimensions like base, height, slant height).

Answer:

d. Rectangles

Question 7