Question

jane builds a ramp made of a triangular prism and a rectangular prism. what is the volume of the ramp? 1 m 2 m 3.5 m 4 m 15 m³ 28 m³ 11.5 m³ 7.5 m³

Explanation:

Step1: Calculate volume of triangular prism

The volume formula for a triangular prism is $V_{triangular}=Bh$, where $B$ is the area of the base and $h$ is the height - length. The base of the triangular prism is a triangle with base $b = 2m$ and height $h_{triangle}=1m$, so $B=\frac{1}{2}\times2\times1 = 1m^{2}$, and the length of the triangular prism is $l = 3.5m$. Then $V_{triangular}=1\times3.5=3.5m^{3}$.

Step2: Calculate volume of rectangular prism

The volume formula for a rectangular prism is $V_{rectangular}=l\times w\times h$. Here, $l = 4m$, $w = 2m$, $h = 1m$, so $V_{rectangular}=4\times2\times1 = 8m^{2}$.

Step3: Calculate total volume of the ramp

$V = V_{triangular}+V_{rectangular}=3.5 + 8=11.5m^{3}$

Answer:

$11.5\ m^{3}$