Question
A regular tetrahedron has a lateral surface area of 108√3
cm². Calculate its volume.Solution
ATQ,
Let the edge length of the tetrahedron be 's' cm
Lateral surface area = 3 × (√3/4) × s²
As given,
108√3 = 3 × (√3/4) × s²
⇒ s² = 144
⇒ s = 12
Volume = (√2/12) × s³
= (√2/12) × 12 × 12 × 12
= 144√2 cm³
An automobile agency launched a scheme that if a customer purchased two Jabas Discover bikes, one extra Jabas Discover will be free and if he purchases ...
- A mobile phone was sold with a discount of Rs. 1200, which is Rs. 400 less than the profit earned. If its cost price is Rs. 800, determine the mark-up perc...
A seller marked the price of an item at Rs. 6,000. The seller gave successive discounts of (c + 6)% and (c - 6)% to a customer. If the customer paid Rs....
Sara sold 30 scarves at a profit of 25%. If she had sold all the scarves for Rs. 3000 more, her overall profit would have been 50%. What is the selling ...
A seller marked his article 60% above the cost price and sold it after offering two successive discounts of 50% and 20% respectively. In the whole trans...
If a pen is bought at 11/12th of its selling price and sold at 10% more than its selling price, what will be the percentage profit?
A shopkeeper sold an article for Rs. 600 after offering a discount of 40%. If he earned a profit of 50%, then find the ratio of cost price to the marked...
A dealer buys three types of mangoes at Rs. 40, Rs. 30 and Rs. 10 kg respectively. He mixes them in the ratio of 2:3:4 by weight and sells them at a pro...
A shopkeeper sells an article at a Loss of 20% of the selling price. Find the actual loss percentage.
A shopkeeper sold an article at a discount of 13%. If he had given a discount of 7% in place of 13%, then he would have earned Rs. 108 more. If the cost...
Relevant for Exams:
