Question

Find the volume lateral surface area and the total surface area of the cuboid whose
length = 15 m, breadth = 6 m and height = 9 dm
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Answer 1

Answer:

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Answer 2

Given :

• Length (l) = 15m
• Breadth (b) = 6m
• height (h) = 9dm

To Find :

• Lateral surface area of cuboid
• Total surface area if cuboid
• Volume of cuboid

Formula Applied :

$\underline{\boxed{\sf{Lateral \: Surface \: Area_{(Cuboid)}=2h(l+b)}}}$

$\underline{\boxed{\sf{Total \: Surface \: Area_{(Cuboid)}= 2(lb+bh+hl)}}}$

$\underline{\boxed{\sf{Volume_{(Cuboid)}=l \times b \times h}}}$

Solution :

• Before substituting the values in formula convert all measures in the same unit (m). Hence we have to change height of the cuboid into metric units.

$\boxed{\sf{10dm = 1m}}$

$\displaystyle\implies {\sf 9dm = \frac{9}{10}m}$

$\implies {\sf 0.9 metre }$

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1. Lateral Surface Area :

$\implies \sf {2h(l+b)}$

$\implies \sf {2 \times 0.9 (15+6)}$

$\implies \sf {1.8(21)}$

${\boxed{\sf{Lateral \: Surface \: Area_{(Cuboid)}= 37.8 m^2 }}}$

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2. Total Surface Area

$\implies \sf {2(lb+bh+hl)}$

$\implies \sf {2((15\times 6)+(6 \times 0.9)+(0.9 \times 15))}$

$\implies \sf {2(90+5.4+13.5}$

$\implies \sf {2(108.9)}$

${\boxed{\sf{Total \: Surface \: Area_{(Cuboid)}= 217.8m^2 }}}$

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3. Volume :

$\implies \sf {l \times b \times h}$

$\implies \sf {15 \times 6 \times 0.9}$

${\boxed{\sf{Volume _{(Cuboid)}= 81 m^3 }}}$

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Required Answer :

1. Lateral Surface area of the Cuboid is ${\underline{\sf 37.8 m^2}}$

2. Total Surface Area of the Cuboid is ${\underline{\sf 217.8 m^2}}$

3. Volume Of the Cuboid is ${\underline{\sf 81 m^3 }}$

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