Answer to Question #148836 in Geometry for anlp

Question

_____24. A prismatoid has an upper base of 90% , a lower base of 2100% , an altitude of 100 cm, and a midsection of 120? . What is its volume? (with solution)

a) 7000 cm3 b) 11 500 cm3 c) 13 000 cm3 d) 17 500 cm3

Answer 1

$$V=\dfrac{L}{6}(A_1+4A_m+A_2)$$

where

$A_1$ and $A_2=$ areas of parallel bases

$A_m=$ area of the section midway between $A_1$ and $A_2$

$L=$ the altitude

$$V=\dfrac{100}{6}(90+4(120)+210)=13000(cm^3)$$

c) 13 000 cm3