The inner dimensions of a closed wooden box are 2 m- 1-2 m and -75 m- The thickness of the wood is 2- 5 cm- Find the cost of wood required to make the box if 1 m3 of wood costs Rs 5400-

B'Volume of inner dimensions of wooden box =l× b× h=2× 1.2× 0.75=1.8m^3 Volume of outer dimensions of wooden box =l× b× h=(2+2.5)×(1.2+2.5)×(0.75+2.5)=4 ...

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Standard X

Mathematics

Surface Area of Combined Figures

The inner dim...

Question

The inner dimensions of a closed wooden box are $2 m$ , $1.2 m$ and $.75 m$ . The thickness of the wood is $2 \cdot 5 c m$ . Find the cost of wood required to make the box if $1 m^{3}$ of wood costs $R s 5400$ .

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Solution

b'
Volume of inner dimensions of wooden box $= l \times b \times h = 2 \times 1.2 \times 0.75 = 1.8 m^{3}$
Volume of outer dimensions of wooden box $= l \times b \times h = (2 + 2.5) \times (1.2 + 2.5) \times (0.75 + 2.5) = 4.5 \times 3.7 \times 3.25 = 54.1125 m^{3}$
Volume of the wood $=$ Outer dimension $-$ Inner dimension
$= 54.1125 - 1.8 = 52.3125 m^{3}$
Cost at the rate of Rs. $5400$ per $m^{3} = 52.3125 \times 5400 =$ Rs. $2, 82, 487.5$
'

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The inner dimensions of a closed wooden box are 2 m, 1.2 m and .75 m. The thickness of the wood is 2⋅5 cm. Find the cost of wood required to make the box if 1 m3 of wood costs Rs 5400.

The inner dimensions of a closed wooden box are $2 m$ , $1.2 m$ and $.75 m$ . The thickness of the wood is $2 \cdot 5 c m$ . Find the cost of wood required to make the box if $1 m^{3}$ of wood costs $R s 5400$ .