Question
Download Solution PDFThree cubes each of volume 4096 cm3 are joined end to end to form a new solid. What is the surface area of the new solid?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Volume of one cube = 4096 cm³
Concept:
The side of the cube can be found using the cube root.
The surface area of a cuboid is 2lw + 2lh + 2wh
Solution:
When three identical cubes are joined end to end, they form a cuboid.
The dimensions of this new cuboid are:
length = 16 cm × 3 = 48 cm (since three cubes are joined end to end),
width = 16 cm (which is the edge length of each cube),
height = 16 cm (which is also the edge length of each cube).
The formula for the surface area of a cuboid is 2lw + 2lh + 2wh, where:
= 2 × 768 + 2 × 768 + 2 × 256
= 1536 + 1536 + 512
= 3584 cm².
Therefore, the surface area of the new solid is 3584 cm2
Last updated on Jun 30, 2025
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