The height of a square-based pyramid is 21 cm and the length of the base is 20 cm.

1. How many triangular surfaces are there in a square-based pyramid? Write it.
2. Find the slant height of the pyramid.
3. What is the total cost of painting the total surface area of the pyramid at the rate of Rs. 5 per square cm? Find it.

The ratio of slant height and a side of base of square based pyramid is 5:6 and its total surface area is 1536 sq.cm.

1. Write the relation among base area (A), height(h), and volume(v) of the pyramid.
2. Compare the base area and the area of triangular surfaces.
3. Find the volume of the pyramid.

A group of tourists planned to fix a pyramid-shaped tent at the Everest Base Camp as shown in the figure. The length of a side of its base is 12 ft and the area of triangular surfaces is 240 sq. ft.

1. Write the formula to find the area of triangular surfaces of a square-based pyramid.
2. Find the slant height of the tent.
3. If 64 cu. ft. of air is required for a tourist, how many tourists can be accommodated easily in the tent? Find it.

If the heights of two square-based pyramids are in the ratio of 2:3 and their volumes are in the ratio of 4:5. What is the ratio of their base area?