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16. Mensuration
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Q1 of 24 Page 145

Find the total surface area and volume of a cube whose length is 12 cm.

Given: Length of a cube = 12cm

Total Surface Area of a cube = 6(side of cube)2


= 6(12)2


= 6(144)


= 864 cm2


Volume of a cube = (side of cube)3


= (12)3


= 12 × 12 × 12


= 1728 cm3


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8

Find the cost of whitewashing the four walls of a cubical room of side 4 m at the rate of ₹ 20/ m2.

9

A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has a smaller total surface area?


(ii) If each edge of the cube is doubled, how many times will its T.S.A increase?

2

Find the volume of a cube whose surface area is 486 cm2.

3

A tank, which is cuboidal in shape, has volume 6.4 m3. The length and breadth of the base are 2 m and 1.6 m respectively. Find the depth of the tank.

Questions · 24
16. Mensuration
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