The surface area of a cube is 1536 cm2. Find : (i) the length of its edge (ii) its volume (iii) the volume of its material whose thickness is 5 mm.

Question

KnowledgeBoat · Accepted Answer

Let 'a' be the length of the edge (side of a cube). (i) Total surface area of cube = 6a2 ⇒ 1536 = 6a2 ⇒ a2 = ⇒ a2 = 256 ⇒ a = ⇒ a = 16 cm. Hence, length of the edge = 16 cm. (ii) By formula, Volume of cube = a3 = 163 = 4096 cm3. Hence, volume of cube = 4096 cm3. (iii) Material thickness = 5 mm = 0.5 cm Outer edge = 16 cm Inner edge = 16 - (0.5 + 0.5) = 16 - 1 = 15 cm. Volume of the material = (outer edge)3 - (inner edge)3 = (16)3 - (15)3 = 4096 - 3375 = 721 cm3. Hence, volume of the material = 721 cm3.

Mathematics

The surface area of a cube is 1536 cm². Find :
(i) the length of its edge
(ii) its volume
(iii) the volume of its material whose thickness is 5 mm.

Mensuration

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Mathematics

The surface area of a cube is 1536 cm2. Find :(i) the length of its edge(ii) its volume(iii) the volume of its material whose thickness is 5 mm.