Question 50

Five solid cubes, each of volume 238328 cm3, are joined end to end to form a cuboid. What is the lateral surface area (in cm2) of the cuboid?

Name: Five solid cubes, each of volume 238328 cm3, are joined end to end to form a cuboid. What is the lateral surface area (in cm2) of the cuboid?
Uploaded: 2026-06-14T11:37:46.151293+05:30
Duration: 9 min 2 s
Description: Five solid cubes, each of volume 238328 cm3, are joined end to end to form a cuboid. What is the lateral surface area (in cm2) of the cuboid?

Solution

A cube having a volume of 238328 cubic cm has a side of length 62 cm.
When 5 cubes are joined end to end, we get a cuboid of length = 62*5 = 310 cm, breadth = 62 cm and height = 62 cm.
The lateral surface area of a cuboid = 2*(l + b)*h
==> 2*(310 + 62)*62 = 46128 sq. cm.

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