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
√4761 ÷ 23 + √12769 = ? × 58
(1748 ÷ 8) + 76.8 × 35 =(? × 4) + (42 × 35.5)
(√1296 – 12) × 5 = ? + 40
What will come in the place of question mark (?) in the given expression?
435 ÷ 29 X 792 ÷ 44 = √(? + 14) + 35 + 221 ÷ 17
...? = 65% of 40% of (20 × 250) − 200
[4(1/2) + 4(1/3)] × 12 – 42 = ?2
∛857375 + ∛91125 = ? + √6889
35% of 240 – 6 2 = ? 2 – √256
30% of 600 –
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