Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid. the ratio of the volume of a pyramid to the volume of a prism with the same base and height because the formula for the volume of a prism is v = bh , where b is the area of the base and h is the height, the formula for the volume of a pyramid 3 to 41 to 31 to 21 to 1v=3/4bhv=1/3v=1/2bhv=bh

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.