Question
The sum of the length, breadth, and height of a cuboid
is 30 cm. If the length of the diagonal is 17 cm, find the total surface area of the cuboid.Solution
l+ b+ h = 30 Diagonal =17 Diagonal = √ l2+b2+h2 (l+ b+ h)2 = l2+b2+h2+ 2(l b+ b h +h l) (30)2 = (17)2 +2(l b+ b h +h l) 900 = 289 +2(l b+ b h +h l) 2(l b+ b h +h l) = 900-289=611 2(l b+ b h +h l) =611 Total surface area of cuboid =611 cm2
More Mensuration Questions
- A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF - Select the number that can replace the question mark (?) in the following series.
24, 28, 37, 53, 78, ? - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___ - Select the letter-pair that can replace the question mark (?) in the following series?
FK, HM, LQ, RW, ZE, ? - Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN
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