Answer:
52.8
Step-by-step explanation:
Let's draw a net of the tent.
Hint #22 / 5
333 of the faces are 555 by 333 rectangles.
\begin{aligned} \text{Area of a rectangle} &= \text{length} \cdot \text{width}\\\\ &= 5 \cdot 3\\\\ &= {15} \end{aligned}
Area of a rectangle
=length⋅width
=5⋅3
=15
The total area of these 333 rectangles is 3 \cdot 15 = \blueE{45}3⋅15=453, dot, 15, equals, start color #0c7f99, 45, end color #0c7f99.
Hint #33 / 5
222 of the faces are triangles. Each triangle has the same base and height.
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 2.6\\\\ &= 3.9 \end{aligned}
Area of a triangle
=
2
1
⋅base⋅height
=
2
1
⋅3⋅2.6
=3.9
The total area of these 222 triangles is 2 \cdot 3.9 = \goldE{7.8}2⋅3.9=7.82, dot, 3, point, 9, equals, start color #a75a05, 7, point, 8, end color #a75a05.
Hint #44 / 5
Let's add the areas we found to find the surface area.
\begin{aligned} \text{Surface area} &= \blueE{45}+ \goldE{7.8} \\\\ &= 52.8 \end{aligned}
Surface area
=45+7.8
=52.8
Hint #55 / 5
The surface area of the tent is 52.8\text{ m}^252.8 m
2
52, point, 8, start text, space, m, end text, squared.
