Question
A right pyramid has an equilateral triangle as its base,
with each side measuring 7 cm. The height of the pyramid is given as 32√3 cm. Find the volume of the pyramid.Solution
Volume of a pyramid = (1/3) × area of base × height = (1/3) × (√3/4) × 7 × 7 × 32√3 = 392 cm3
Two positive integers have HCF 12 and LCM 180. If the sum of the two numbers is 96, what is the positive difference between them?
If two numbers have a product of 350 and their HCF is 7, find the LCM of these numbers.
If the sum of 2 numbers is 185, their LCM is 1700 and HCF is 5. Then the difference between 2 numbers is:
The LCM of two natural numbers is 12 times their HCF. If the product of given two numbers is 10,800, then find the LCM of the numbers.
Ratio of two numbers 9:16 and their LCM is 2880. Find the sum of the given two numbers.
Sum of the two numbers is 42. LCM and HCF of that two number is 72 and 6 respectively. Find the sum of reciprocals of the numbers?
Ratio of two numbers 8:15 and their LCM is 2400. Find the sum of the given two numbers.
The HCF of two numbers is 6 and their LCM is 180. If one number is 30, find the other number.
Three numbers a, b and c are co-prime to each other such that ab = 63 and bc = 77. Find the value of (a + b + c).
A boy can swim in still water at a speed of 8 km/hr. If the speed of the current would have been 3 km/hr, then the boy could swim 55 km
