The tent and its floor
Show on a big screenOne tent, four questions, and four different numbers.
- A tent is a cone over a drum.
- Canvas covers both curved sides.
- The floor is the disc at the bottom.
- The rim's two discs are never sold.
Canvas, floor and air
The tent is a cone on a drum, a cylinder. All lengths are in metres. The cone has radius 7 and height 24. The cone's slant height is 25. The drum has radius 7 and height 10. The drum's curved side is its wall. The canvas does not cover the ground.
| Question | What we count | Answer |
|---|---|---|
| Canvas | Cone skin 550, wall 440 | 990 m² |
| Floor cloth | The ground circle | 154 m² |
| Air inside | Cone 1232, drum 1540 | 2772 m³ |
| Canvas at ₹10 per m² | 990 × 10 | ₹9900 |
The numbers: cone skin = 22/7 × 7 × 25 = 550. Drum wall = 2 × 22/7 × 7 × 10 = 440. Ground = 22/7 × 7 × 7 = 154. Canvas = 550 + 440 = 990. Cone = (1/3) × 22/7 × 7 × 7 × 24 = 1232. Drum = 22/7 × 7 × 7 × 10 = 1540. Air = 1232 + 1540 = 2772.
No answer adds every face. The cone's base and the drum's lid touch each other. Both are inside.
In a tent question, canvas covers the curved parts. Read the question to see if the ground is covered. Air inside is a volume. It uses both solids whole.
Answer four questions about one tent.
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Try the lab to finish this lesson.