Find the height of the cuboid whose length is 8 cm, breadth is 6 cm and lateral surface area is 112 sq cm.

2 cm

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8 cm

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6 cm

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4 cm

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Solution

The correct option is D 4 cm
Given
length = 8 cm
breadth = 6 cm and
lateral surface area = 112 sq cm

We know that
Lateral surface area of a cuboid = 2h(l + b)
$\Rightarrow$ 112 = 2h(8 + 6 )

$\Rightarrow$ 56 = h x 14

$\Rightarrow h = \frac{56}{14} = \frac{28}{7} = 4$

Therefore, height of the cuboid = 4 cm

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Similar questions

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are:

(i) Length $= 12 c m$ ,breadth $= 8 c m$ and height $= 4.5 c m$

(ii) Length $= 26 m$ , breadth $= 14 m$ and height $= 6.5 m$

(iii) Length $= 15 m$ , breadth $= 6 m$ and height $= 5 d m$

(iv) Length $= 24 m$ , breadth $= 24 c m$ and height $= 6 c m$

8 c m

6 c m

5 c m .

The lateral or vertical surface area of a cuboidal box of length, breadth and height 6 cm, 8 cm and 6.5 cm respectively is

c m^{2}

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