Question
A cuboid is formed by joining two identical cubes. If the
total surface area of each cube is 216 cm², determine the total surface area of the newly formed cuboid.Solution
ATQ,
Let the length of each edge of the cube = ‘a’ cm
So, 6 × a² = 216
So, a² = 36
Or, a = 6
So, length of the cuboid = 2 × a = 2 × 6 = 12 cm
Width of the cuboid = a = 6 cm
And, height of the cuboid = a = 6 cm
Desired area = 2 × (6 × 6 + 6 × 12 + 6 × 12) = 2 × 216 = 432 cm²
The ratio of the compound interest earned on an amount of Rs. 'p' at an interest rate of 15% per annum for 2 years to the simple ...
'X' invested Rs. 18,000, splitting the amount between two SIPs: 'P' offering 8% per annum simple interest and 'Q' offering 10% per annum compound intere...
A man invested certain sum at 8.5% p.a. simple interest for his son who was 20 years old. If the amount received by the son when he was 26 years old is ...
"A person 'P' deposited Rs. ‘a’ in SIP 'A' and Rs. ‘b’ in SIP 'B'. He invested in SIP 'A' for 4 years at a simple interes...
"S" has Rs. 'p' with him. He invested 20% of the sum at 15% p.a. simple interest for 4 years in an FD and the rest at 20% p.a. simple interest for 3 yea...
A invested Rs. ‘x’ in a scheme offering compound interest of 20% p.a. compounded annually. If at the end of 2 years, interest received by A was Rs. ...
A sum when invested at simple interest of 5% p.a. amounts to Rs. 18,000 after 4 years. If the same sum was invested at simple interest of 12% p.a. for ...
A certain amount earns simple interest of Rs. 1520 after 5 years. Had the interest been 6% more, how much more interest would it have earned?
A sum of ₹8,500 amounts to ₹11,900 in 5 years at simple interest per annum. If the rate of interest is increased by 3%, then the increased amount fo...
A man invested Rs. 's' in scheme 'G' offering simple interest at 8% for 5 years and Rs. 2,200 in scheme 'H' offering simple interest at 9% for 4 years. ...
