Regular Hexagonal Prism side length = 5 meters and height = 4 meters.V=______ meters3Cylinder Circumference = 17 cm and height = 20 cm. Use your calculator’s pi button and round answers to two decimal places.V=______ cm3Rectangular Prism width = 19 inches, length = 12 inches and height = 9 inches.V=______ inches3Triangular Prism width = 16 inches, length = 14 inches and height = 20 inches.V=______ inches3

(1)base edge, a=5 m, height, h=4 mVolume of Hexagonal Prism =332a2h=332×52×4=1503 m3(2)height of…

Answered: Regular Hexagonal Prism side length = 5…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Related questions

Question

Regular Hexagonal Prism side length = 5 meters and height = 4 meters.

V=______ meters³

Cylinder Circumference = 17 cm and height = 20 cm. Use your calculator’s pi button and round answers to two decimal places.

V=______ cm³

Rectangular Prism width = 19 inches, length = 12 inches and height = 9 inches.

V=______ inches³

Triangular Prism width = 16 inches, length = 14 inches and height = 20 inches.

V=______ inches³

Expert Solution

Step 1

$(1) b a s e e d g e, a = 5 m, h e i g h t, h = 4 m V o l u m e o f H e x a g o n a l P r i s m = \frac{3 \sqrt{3}}{2} a^{2} h = \frac{3 \sqrt{3}}{2} \times {(5)}^{2} \times 4 = 150 \sqrt{3} m^{3} (2) h e i g h t o f c y l i n d e r = 20 c m C y l i n d e r' s C i r c u m f e r e n c e = 17 c m 2 πr = 17 cm r = \frac{17}{2 π} cm volume of cylinder = {πr}^{2} h = π {(\frac{17}{2 π})}^{2} \times 20 = \frac{1445}{π} {cm}^{3} \approx 459.96 {cm}^{3}$