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131. A cube and a cuboid have the same volume. The dimensions of the cuboid are in the ratio 1 : 2 : 4. If the difference between the cost of painting the cuboid and cube (whole surface area) at the rate of र 5/m² is र 80, find their volumes.

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132. A teak wood is cut first in the form of a cuboid of length 2.3 m, width 0.75 m and of a certain thickness. Its volume is 1.104 m³. How many rectangular planks of size 1.104 m³, how many rectangular planks of size 2.3 m x 0.75 m x 0.04 m can be cut from the cuboid?

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133. The length of a cinema hall is 20 m and its width is 16 m. The sum of the areas of its floor and flat roof is equal to the surface area of its four walls. Find the volume and height of the hall.

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134. The length, breadth and height of a cuboid are 20 m, 24 m, 12 m respectively. The dimensions of length, breadth and depth are increased by 15%, 25% and 50% respectively. What is the ratio between the volume of the original cuboid and the new cuboid.

For original cuboid
Length (l) = 20 m Breadth (b) = 24 m Height (h) = 12 m Volume (V₁) =lbh
= 20 x 24 x 12 m³ = 5760 m³For new cuboid

Length (L) = 20m + 20 X $15 over 100 space m$
= 23 m
Breadth (B) = 24 m + 24 X $25 over 100 space straight m$
= 30 m
Height (H) = 12m + 12 X $50 over 100 space m$
= 18 m
$therefore$ Volume (V₂) = LBH
= 23 x 30 x 18
= 12420 m³

$therefore$ Required ratio = $straight V subscript 1 over straight V subscript 2 equals 5760 over 12420 equals 32 space colon space 69$

$1 over 10 equals fraction numerator 32.4 over denominator 10 end fraction space straight m cubed equals 3.24 space straight m cubed$

$therefore$ Volume of wall occupied by bricks
= 32.4 m³ - 3.24 m³
   $equals space 29.16 space straight m cubed$

$therefore$ Number of bricks

   $equals space fraction numerator 29.16 cross times 100 cross times 100 cross times 100 over denominator 2160 end fraction equals space 13500$

Cost of bricks

   $equals 225 over 100 cross times 13500$

= र 30375

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135. A wall was to be built across an open ground to cover a width (or breadth) of 10 m. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required?

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136. A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in figure. If the edge of each cube is 3 cm, find the volume of the structure built by the child.