The total surface area of a cube is 864 cm 2- Its volume isa 3456 cm 3b 432 cm 3c 1728 cm 3d 3456 cm 3

(c) 1728 cm3 Let the edge of the cube be a. Total surface area of the cube = 6a2 Therefore, 6a2=864a2=144a=12 #160;cm Therefore, volume of the cube = nbsp; ...

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Standard X

Mathematics

Total Surface Area of a Cuboid

The total sur...

Question

The total surface area of a cube is 864 cm². Its volume is
(a) 3456 cm³
(b) 432 cm³
(c) 1728 cm³
(d) 3456 cm³

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Solution

(c) 1728 cm³
Let the edge of the cube be a.
Total surface area of the cube = 6a²
Therefore,
$6 a^{2} = 864 a^{2} = 144 a = 12 cm$
Therefore, volume of the cube = a³
$= (12 \times 12 \times 12) {cm}^{3} = 1728 {cm}^{3}$

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The total surface area of a cube is 864 cm2. Its volume is (a) 3456 cm3 (b) 432 cm3 (c) 1728 cm3 (d) 3456 cm3

(c) 1728 cm3 Let the edge of the cube be a. Total surface area of the cube = 6a2 Therefore, 6a2=864a2=144a=12 cm Therefore, volume of the cube = a3 =12×12×12 cm3=1728 cm3

The total surface area of a cube is 864 cm². Its volume is
(a) 3456 cm³
(b) 432 cm³
(c) 1728 cm³
(d) 3456 cm³

(c) 1728 cm³
Let the edge of the cube be a.
Total surface area of the cube = 6a²
Therefore,
$6 a^{2} = 864 a^{2} = 144 a = 12 cm$
Therefore, volume of the cube = a³
$= (12 \times 12 \times 12) {cm}^{3} = 1728 {cm}^{3}$