Question

1. A metallic cuboid 100 cm x 80 cm x 64 cm is melted and recasted into a cube. Find
(i) the edge of the cube
(ii) the surface area of the cube, and
(iii) the volume of the cube.
the resulting
Only comments who knows the answer otherwise i will report​

Answer 1

Answer:

Volume of cube = Volume of the cuboid

a

3

=100×80×64

a

3

=512000

a=80 cm

Surface area = 6a

2

=38400 cm

2

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Answer 2

Answer:

(i) 80cm

(ii) Total Surface Area of Cube = 38400 cm^2

    Lateral Surface Area of Cube = 25600 cm^2

(iii) 512000 cm^3

Step-by-step explanation:

Volume of cuboid = 100x80x64 cm^3 = 512000 cm^3

(iii) Volume of cube = Volume of cuboid = 512000 cm^3

(i) Let side of cube be a,

Volume of cube = a^3

=> a^3 = 512000

=> a = cube root of 512000

=> a = 80 cm

(ii) Total Surface Area of Cube = 6x(a^2) = 6 x 80 x 80 = 38400 cm^2

    Lateral Surface Area of Cube = 4x(a^2) = 4 x 80 x 80 = 25600 cm^2