Mark against the correct answer-The length- breadth and height of a cuboid are in the ratio 3- 4- 6 and its volume is 576 cm 3- The whole surface area of the cuboid isa 216 cm 2b 324 cm 2c 432 cm 2d 460 cm 2

(c) 432 sq nbsp;cm Volume=lbh=3x #215;4x #215;6x=72x3 #160;=576 #160;cm3 #8658;x=576723=2 there4; Total surface area=2lb+bh+lh=2(3x4x+4x6x+3x6x) ...

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Standard VIII

Mathematics

Total Surface Area of Cuboid

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Question

Mark (✓) against the correct answer:
The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm³. The whole surface area of the cuboid is
(a) 216 cm²
(b) 324 cm²
(c) 432 cm²
(d) 460 cm²

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Solution

(c) 432 sq cm
Volume $= l b h = 3 x \times 4 x \times 6 x = 72 x^{3} = 576 c m^{3}$
$\Rightarrow x = \sqrt[3]{\frac{576}{72}} = 2$
∴ Total surface area $= 2 (l b + b h + l h) = 2 (3 x 4 x + 4 x 6 x + 3 x 6 x) = 2 (48 + 96 + 72) = 432 {cm}^{2}$

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Mark (✓) against the correct answer: The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm3. The whole surface area of the cuboid is (a) 216 cm2 (b) 324 cm2 (c) 432 cm2 (d) 460 cm2

(c) 432 sq cm Volume=lbh=3x×4x×6x=72x3 =576 cm3 ⇒x=576723=2 ∴ Total surface area=2lb+bh+lh=2(3x4x+4x6x+3x6x)=2(48+96+72)=432 cm2

Mark (✓) against the correct answer:
The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm³. The whole surface area of the cuboid is
(a) 216 cm²
(b) 324 cm²
(c) 432 cm²
(d) 460 cm²

(c) 432 sq cm
Volume $= l b h = 3 x \times 4 x \times 6 x = 72 x^{3} = 576 c m^{3}$
$\Rightarrow x = \sqrt[3]{\frac{576}{72}} = 2$
∴ Total surface area $= 2 (l b + b h + l h) = 2 (3 x 4 x + 4 x 6 x + 3 x 6 x) = 2 (48 + 96 + 72) = 432 {cm}^{2}$