Volume, SM-Bank 002 MC A right triangular prism has a volume of 320 cm3. A second right triangular prism is made with the same width, twice the height and three times the length of the prism shown. The volume of the second prism (in cm3) is \(640\) \(960\) \(1280\) \(1920\) Show Answers Only \(D\) Show Worked Solution \(\text{Volume of existing prism}\ (V)\) \(=A\times l\) \(=\Bigg(\dfrac{1}{2}\times b\times h\Bigg)\times l\) \(=320\ \text{cm}^3\) \(\text{Volume of new prism}\ (V_1)\) \(=\Bigg(\dfrac{1}{2}\times b\times 2h\Bigg)\times 3l\) \(=6\times\dfrac{1}{2}\times b\times h\times l\) \(=6\times V\) \(=6\times 320\) \(=1920 \ \text{cm}^3\) \(\Rightarrow D\)
