Mathematics
Three cubes, each of side 6 cm, are joined end to end. Find the surface area of resulting cuboid.
Answer
Given,
Side = 6 cm
When three identical cubes are joined end to end they form a cuboid.
∴ New length = 6 + 6 + 6 = 18 cm.
Breadth = 6 cm.
Height = 6 cm.
Total Surface area of cuboid = 2(lb + bh + hl)
= 2(18 × 6 + 6 × 6 + 6 × 18)
= 2(108 + 36 + 108)
= 2(252)
= 504 cm2.
Hence, surface area of cuboid = 504 cm2.
Related Questions
The dimensions of a field are 15 m × 12 m. A pit 7.5 m × 6 m × 1.5 m is dug in one corner of the field and the earth removed from it, is evenly spread over the remaining area of the field. Calculate, by how much the level of the field is raised.
The sum of the length, breadth and depth of cuboid is 19 cm and the length of its diagonal is 11 cm. Find the surface area of the cuboid.
Find :
(i) the volume
(ii) the total surface area
(iii) the lateral surface area and
(iv) the length of the diagonal of a cube of side 10 cm.
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.