Multiple choice

Rohit makes a toy by placing a solid cube with surface area 24 cm² on top of a solid cuboid measuring 4 cm × 6 cm × 2 cm. Assuming no overlap or gaps, find the total volume of the toy.

  1. 56 cm3

  2. 8 cm3

  3. 48 cm3

  4. 40 cm3

  5. 50 cm3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cube surface area = 6 * side^2 = 24, so side = 2. Cube volume = 2^3 = 8. Cuboid volume = 4 * 6 * 2 = 48. Total volume = 8 + 48 = 56.

AI explanation

A cube has 6 equal faces, so if its total surface area is 24 square cm, each face has an area of 4 square cm making the side length 2 cm. The volume of the cube is the side cubed, which is 8 cubic cm. The volume of the cuboid is 4 times 6 times 2, giving 48 cubic cm, so adding both volumes together yields 56 cubic cm.

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