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16. Mensuration
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Q5 of 24 Page 145

A solid cubical box of fine wood costs ₹ 256 at the rate ₹ 500/m3. Find its volume and length of each side.

Let the side of a cubical box = ‘a’ m

Therefore, Volume of a cubical box = a3 m3


Now, Cost of 1 m3 = ₹500


Therefore, Cost of a3 m3 = ₹256








a = 0.8 m or 80 cm


Length of each side = 0.8 m


volume of a cubical box = a3 = (0.8)3 = 0.512 m3


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4

How many m3 of soil has to be excavated from a rectangular well 28 m deep and whose base dimensions are 10 m and 8 m. Also, find the cost of plastering its vertical walls at the rate of ₹ 15/m2.

1

Three metal cubes whose edges measure 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find (i) side-length (ii) total surface area of the new cube. What is the difference between the total surface area of the new cube and the sum of the total surface areas of the original three cubes?

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Questions · 24
16. Mensuration
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