The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
Accepted Solution
Answer:144 m^3Step-by-step explanation:Please find attached the image of the prismsVolume of a triangular prism = area of the base x height of the prismArea of the base = 1/2 ( base x height)the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangleratio of their dimensions = 6 / 1.5 = 4 the dimensions of the bigger triangle is 4 times that of the smaller triangleheight of the base of the prism = 1.5 x 4 = 6Height of the prism = 2 x 4 = 8 Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2Volume of the prism = 18 x 8 = 144 m^3
