Geometry

Solids

Hard

Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is $564 \ \text{cm}^2$ . Then the possible values of the sum of their volumes are

$764 \ \text{cm}^3$ and $586 \ \text{cm}^3$

$586 \ \text{cm}^3$ and $564 \ \text{cm}^3$

$764 \ \text{cm}^3$ and $564 \ \text{cm}^3$

$586 \ \text{cm}^3$ and $786 \ \text{cm}^3$

✅ Correct Option: 1

IPMAT Indore 2019

The number of whole metallic tiles that can be produced by melting and recasting a circular metallic plate, if each of the tiles has a shape of a right-angled isosceles triangle and the circular plate has a radius equal in length to the longest side of the tile (Assume that the tiles and plate are of uniform thickness, and there is no loss of material in the melting and recasting process) is

Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is 564 cm2564 \ \text{cm}^2564 cm2. Then the possible values of the sum of their volumes are

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IPMAT Indore Past Year Questions (Topic-Wise)

Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is $564 \ \text{cm}^2$ . Then the possible values of the sum of their volumes are