Mathematics, 25.12.2019 16:31 babylibra

Can someone me solve this?

a square-based tent in the shape of a rectangular pyramid over a rectangular prism covers a ground area of 4.9m^2. it stands 1.5m high around the perimeter of the tent and 2.5m in the middle. calculate the amount of canvas that was used to make the tent.

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So...the tent, seems to be the first picture below

the second picture, is just a break-down of the pyramid

$\bf \textit{area of a square}=A=a^2=4.9\implies a=\sqrt{4.9}
\\\\\\
\textit{slant height will be}=c^2=\left( \frac{\sqrt{4.9}}{2} \right)^2+1^2
\\\\\\
c^2=\cfrac{4.9}{4}+1\implies c^2=\cfrac{89}{40}\implies c=\sqrt{\cfrac{89}{40}}$

so... that's the value of "a" and the "c" or "slant height", namely the missing slanted side on that second picture

we need the slant height, in order to get the area of that triangular face, and the base of that triangle is, just "a"

since the area of a triangle is 1/2 bh, and the base is "a" and the altitude or height here is the slant height "c", then the area of that triangular face is $\bf \left( \cfrac{1}{2} \right)\left( \sqrt{4.9}\right)\left( \sqrt{\cfrac{89}{40}} \right)$

and the area of the lateral sides for the prism, are " a * 1.5" or $\bf \sqrt{4.9} \cdot 1.5$

so, you have 4 triangles, and 4 rectangles to be added, so.. .let's do that, to get the canvas then

$\bf \begin{array}{clclll}
4\left[ \left( \cfrac{1}{2} \right)\left( \sqrt{4.9}\right)\left( \sqrt{\cfrac{89}{40}} \right) \right]&+&4[(\sqrt{4.9})(1.5)]\\
\uparrow &&\uparrow \\
\textit{4 triangles}&&\textit{4 rectangles}
\end{array}$

that'd be the area of the canvas, or namely, the surface area

notice, we are not including the base of the pyramid, because that's inside the tent, and excluding the base of the prism, because that'd be the ground, and the tent may not include that, well, depends on the tent, in this case, I think a tent this big may not, other smaller ones do though

Can someone me solve this? a square-based tent in the shape of a rectangular pyramid over a rectan

Can someone me solve this? a square-based tent in the shape of a rectangular pyramid over a rectan

Answer from: Quest

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

Answer from: Quest

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you

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