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I need to find the volume of these but my teacher never went over trapezoidal prisms and I need help. I'm very sorry. Thank you!

42) A trapezoidal prism of height 12 cm. The parallel sides of the base have lengths 12 cm and 6 cm. The other sides of the base are each 6 cm. The trapezoid's altitude measures 5.2 cm.

45) A trapezoidal prism of height 6 yd. The parallel sides of the base have lengths 9 yd and 4 yd. The other sides of the base are each 5 yd. The trapezoid's altitude measures 4.3 yd

Sep 5, 2018

#1
+101161
+1

42) A trapezoidal prism of height 12 cm. The parallel sides of the base have lengths 12 cm and 6 cm. The other sides of the base are each 6 cm. The trapezoid's altitude measures 5.2 cm.

The key here is to  find the area of the trapezoidal base and then multiply this area by the height of the prism...note that info concerning "the other sides of the base" isn't really needed

Area of the trapezoid  =  [ base area ] =   (1/2) (altitude of the trapezoid) * (sum of the base lengths)  =

(1/2) ( 5.2) (12 + 6) =

(1/2) (5.2) (18) =

9 * 5.2  =

46.8 cm

Now....the volume =   base are * height of the prism =   46.8 * 12   =  561.6 cm^3

45) A trapezoidal prism of height 6 yd. The parallel sides of the base have lengths 9 yd and 4 yd. The other sides of the base are each 5 yd. The trapezoid's altitude measures 4.3 yd

This one is similar

Area of the trapezoid =  (1/2) (4.3) (9 + 4)  = (1/2) (4.3) (13)   = 27.95 yd

Volume of the prism  =   6 (27.95)  = 167.7 yd^3

Sep 5, 2018
#2
+1

Thank you so much!! I was very confused about these questions and now I understand it! I appreciate your help!

Guest Sep 5, 2018
#3
+101161
0

No prob  !!!

CPhill  Sep 5, 2018