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Ostrovityanka [42]
3 years ago
5

Find the surface area of each figure to the nearest tenth.

Mathematics
1 answer:
Stells [14]3 years ago
7 0
For the cylinder on the left-hand-side,

\bf \textit{surface area of a cylinder}\\\\
S=2\pi r(h+r)\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=10\\
r=5
\end{cases}\implies S=2\pi (5)(10+5)

now, for the triangular prism on the right-hand-side,

notice is really just 2 triangles and 3 rectangles, stacked  up to each other at the edges.

the triangles have a base of 4, and a height of 1.5.

the rectangle on the left and the one on the right is a 6x2.5 rectangle.

the rectangle at the bottom, is a 4x6 rectangle.

adding their areas, is the area of the prism,

\bf \stackrel{two~triangles}{2\left[\cfrac{1}{2}(4)(1.5)  \right]}+\stackrel{left-right~rectangles}{2(6\cdot 2.5)}+\stackrel{bottom~rectangle}{4\cdot 6}
\\\\\\
6~~+~~30~~+~~24
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The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

<em><u>Solution:</u></em>

Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin

<em><u>To find: height of each penguin</u></em>

From given question,

Let "e" be the height of emperor penguin

Let "g" be the height of galapagos penguin

Total height of two penguins = 169 centimeter

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height of emperor penguin + height of galapagos penguin = 169

e + g = 169  ---- eqn 1

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height of emperor penguin = 22 + 2(height of galapagos penguin)

e = 22 + 2g --- eqn 2

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g = 169 - e ------- eqn 3

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