asd233
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

What is the volume of this triangular prism?




A.
33 cm3


B.
210 cm3


C.
420 cm3


D.
840cm3


What Is The Volume Of This Triangular Prism A 33 Cm3 B 210 Cm3 C 420 Cm3 D 840cm3 class=

Sagot :

[tex]The\ volume\ of\ the\ prism:V=A_B\cdot H\\\\A_B-area\ of\ the\ base;\ H-height\ of\ the\ prism\\-------------------------------\\\\In\ base\ is\ the\ triangle.\ The\ area\ of\ the\ triangle:A_\Delta=\frac{b\cdot h}{2}\\\\b-the\ basel\ h-the\ height\\\\b=14cm;\ h=4cm\\\\subtitute:A_\Delta=\frac{14\cdot4}{2}=\frac{56}{2}=\boxed{28\ (cm^2)}\\\\Answer:V=28\cdot15=\boxed{420\ (cm^3)}\leftarrow\boxed{\boxed{C}}}[/tex]