Question
The dimensions of a cuboidal box are in the ratio 3:2:1.
If the total volume of the box is 546.75 cm³, determine its lateral surface area.Solution
Let the length, breadth and height of box be '3a', '2a' and 'a' cm respectively.
So, 3a X 2a X a = 546.75
Or, 6a 3 Â = 546.75
Or, a 3 Â = 91.125
Or, 'a' = 4.5
Length of box = 3 X 4.5 = 13.5 cm
Breadth of box = 2 X 4.5 = 9 cm
Height of box = 4.5 cm
Lateral surface area of box = 2 X (length + breadth) X height
= 2 X (13.5 + 9) X 4.5 = 9 X 22.5 = 202.5 cm 2
Which team secured the second position in the 2024 Sultan Azlan Shah Trophy?
ASEAN India Grassroots Innovation Forum (AIGIF) was launched in which country?
Which organization recently completed six consecutive developmental trials of the High-Speed Expendable Aerial Target (HEAT) 'ABHYAS'?
Who has been appointed as the next High Commissioner of India to the Republic of Rwanda?
What is the theme of the World Day Against Child Labour 2024?
Consider the following statements about One Nation One Registration platform:
1. National Medical Commission (NMC) launch “one nation, one regi...
Consider the following statements regarding ‘Mosaic Viruses:Â
Statement-I:Â Tomato mosaic virus (ToMV) belongs to the Virgaviridae family and...
Who is the author of the book "The God of Small Things," which won the Booker Prize in 1997?
Which sport is associated with Tanvi Sharma, who recently won the women's singles title at the Bonn International Badminton Tournament?
The credit for starting 'Dhoolipatha' for measurement goes to: