The surface area of a square pyramid is found using the formula sa=b^2+2bh, where b is the length of the base and h is the height. the surface area of a square pyramid whose base is 3 feet long is 51ft^2 . what is the height of the pyramid, in feet? a. 0.85 b. 7.5 c. 24 d. 7

height of the pyramid is 7 feet.

surface area = B + 1/2

our equation will look like this do not mind the line at the end this'll be used in the final equation

51 ft² = 3ft^2 + 1/2 * 4 * 3ft * l

turn 3ft^2 into 9ft^2 then multiple 4 with 3ft then times with 1/2 this turns it into

51 ft^2 - 9 ft^2= 12ft/2 * l

42 ft² = 6 ft * I then we divide these two numbers 42 with 6 equaling 7ft!

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.