Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume

The volume is 11.5 m3. To answer this question, we must utilize the following formulas: Volume of a rectangular prism (R): length x width x height. Plugging in the provided values, we can find: V(R) = 4 x 2 x 1 = 8m3. Volume of a triangular prism (T): base area x height, where the base area is defined as A = 1/2 x base x height. Calculating the base area gives us A = 1/2 x 1 x 3.5 = 1.75m2. Now, applying the volume formula: V(T) = A x h = 1.75 x 2 = 3.5m3. By summing both volumes, we obtain: 8 + 3.5 = 11.5 m3. Please let me know if you have any further questions or need clarification.

The right choice is the third option -> 11.5 m3. To calculate the volume of the ramp, one must first determine the volumes of the rectangular prism and the triangular prism: V_rectangular = 4m * 2m * 1m = 8 m3 V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3. Therefore, to compute the total ramp volume, we combine both volumes: V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3. Correct choice is the third one.