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charle [14.2K]
2 years ago
6

What is the volume of this triangular prism?

Mathematics
1 answer:
Vladimir79 [104]2 years ago
8 0

Answer:

\text { The volume }=288 \mathrm{ft}^{3}

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}

h = 16

Now we calculate:

\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}

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Step-by-step explanation:

We have been given that Julia rides her horse 18 km with a constant speed of 6 km/hr.

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\text{Time}=\frac{\text{Distance}}{\text{Speed}}

\text{Time taken to cover 18 km}=\frac{18\text{ km}}{\frac{6\text{km}}{\text{hour}}}

\text{Time taken to cover 18 km}=\frac{18\text{ km}}{6}\times\frac{\text{hour}}{\text{km}}

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We are also told that she rides another 24 km with a constant speed of 12 km/hr.

Let us find the time taken by Julia to cover a distance of 24 km.

\text{Time taken to cover 24 km}=\frac{24\text{ km}}{\frac{12\text{km}}{\text{hour}}}

\text{Time taken to cover 24 km}=\frac{24\text{ km}}{12}\times\frac{\text{hour}}{\text{km}}

\text{Time taken to cover 24 km}=\frac{24}{12}\times\text{hour}

\text{Time taken to cover 24 km}=2\text{ hour}

Since we know that \text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}.

Upon substituting our values in above formula we will get,

\text{Julia's average speed}=\frac{18\text{ km}+24\text{ km}+}{3\text{ hour}+2\text{ hour}}

\text{Julia's average speed}=\frac{42\text{ km}}{5\text{ hour}}

\text{Julia's average speed}=\frac{8.4\text{ km}}{\text{ hour}}

Therefore, Julia's average speed is 8.4 km per hour.


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4 years ago
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