# The Scout Tent

The Scout Tent has a rectangular wooden underlay with dimensions of 220 cm and 150 cm. How much canvas is needed for a 170 cm high of pyramid roof?

Correct result:

x =  7.125 m2

#### Solution:

$a=220 \ cm \rightarrow m=220 / 100 \ m=2.2 \ m \ \\ b=150 \ cm \rightarrow m=150 / 100 \ m=1.5 \ m \ \\ h=170 \ cm \rightarrow m=170 / 100 \ m=1.7 \ m \ \\ \ \\ h_{1}=\sqrt{ h^2 + (b/2)^2 }=\sqrt{ 1.7^2 + (1.5/2)^2 } \doteq 1.8581 \ \text{m} \ \\ h_{2}=\sqrt{ h^2 + (a/2)^2 }=\sqrt{ 1.7^2 + (2.2/2)^2 } \doteq 2.0248 \ \text{m} \ \\ \ \\ S_{1}=a \cdot \ h_{1} /2=2.2 \cdot \ 1.8581 /2 \doteq 2.0439 \ \text{m}^2 \ \\ S_{2}=b \cdot \ h_{2} /2=1.5 \cdot \ 2.0248 /2 \doteq 1.5186 \ \text{m}^2 \ \\ \ \\ x=2 \cdot \ (S_{1}+S_{2})=2 \cdot \ (2.0439+1.5186)=7.125 \ \text{m}^2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you want to convert area units?
Pythagorean theorem is the base for the right triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

Calculate the surface of a quadrilateral pyramid, which has a rectangular base with dimensions a = 8 cm, b = 6 cm and height H = 10 cm.
• Rectangular base pyramid
Calculate an area of the shell of the pyramid with a rectangular base of 2.8 m and 1.4 m and height 2.5 meters.
• Thunderstorm
The height of the pole before the storm is 10 m. After a storm when they come to check it they see that on the ground from the pole blows part of the column. Distance from the pole is 3 meters. At how high was the pole broken? (In fact, a rectangular tri
• Median in right triangle
In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
• Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm2.
• Church roof
The roof of the church tower has the shape of a regular tetrahedral pyramid with base edge length 5.4 meters and a height 5 m. It was found that needs to be corrected 27% covering of the roof area. What amount of material will be required?
• Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm2?
• Pyramid
The pyramid has a base rectangle with a = 6cm, b = 8cm. The side edges are the same and their length = 12.5 cm. Calculate the surface of the pyramid.
• Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
• A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
• Triangle P2
Can triangle have two right angles?
• Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage both laths and touch at a height of 70 cm above the garage floor. How wid
• Area
Calculate: ?
• Pyramid four sides
In a regular tetrahedral pyramid is a body height 38 cm and a wall height 42 cm. Calculate the surface area of the pyramid; the result round to square centimeters.
• Median
In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
• Surface of pyramid
In a regular quadrilateral pyramid, the height of the sidewall is equal to the length of the edge of the base. The content of the sidewall is 32 cm2. What is the surface of the pyramid?
• Inscribed rectangle
What is the perimeter of a rectangle that is inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm