Question
A pyramid has a square base with a height of 12 cm. Each
of the pyramid's faces is an equilateral triangle, and the area of each face is 64√3 cm². Find the volume of the pyramid.Solution
Length of each side of the base of the pyramid = Length of base of each triangular face Let the length of base of each triangular face be 'a' cm. So, 64√3 = (√3/4) X a2 Or, a2 = 256 So, a = 16 {Since, length of side cannot be negative} So, area of base of the pyramid = 16 X 16 = 256 cm2 So, volume of pyramid = 256 X 12 X (1/3) = 1024 cm3
Which Indian state has declared 'Kaji Nemu' (Citrus limon) as its state fruit?
Which state government has launched the 'Maha Lakshmi scheme', a pioneering initiative offering free bus travel to women, promoting gender equality, emp...
Who inaugurated the eMigrate V2.0 web portal and mobile app in Delhi?
Which of the following is NOT a characteristic of a zero-coupon bond?
The first IIT campus outside India will be set up in which country?
Which country returned sovereignty of the Chagos Islands to Mauritius in 2024, while retaining control of the Diego Garcia military base?
Global Innovation Index (GII) is released by which of the following?
When and how long is the 'Har Ghar Tiranga' campaign being organized?
When is National Tourism Day observed?
Where was the International Solar Festival (ISF) 2024 held?
