Question

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

Answer 1

Answer: 11.5 m3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:  

Volume of a rectangular prism (R) : length x width x height

Replacing with the values given and solving for v (Volume)  

V(R) = 4x 2 x 1

V(R) = 8m3

Volume of a triangular prism (T): base area x height

Base area = 1/2 x base x height (of the triangular base)  

A = 1/2 x 1 x 3.5 = 1.75m2

Back with the volume formula:

V (T)= A x h = 1.75 x 2 = 3.5m3

Adding both volumes:

8 +3.5 = 11.5 m3

Feel free to ask for more if needed or if you did not understand something  

Answer 2

Answer:

Correct option: third one ->  11.5 m3

Step-by-step explanation:

To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:

V_rectangular = 4m * 2m * 1m = 8 m3

V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3

Now, to find the volume of the ramp, we just need to sum both volumes:

V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3

Correct option: third one.