Seven equal cubes each of side 5 cm are joined end to end. Find the surface area of the resulting cuboid.
Answers
Step-by-step explanation:
If 7 cubes are joined end to end in a straight line it will form a cuboid of length 35cm.
Length(l)=35cm
Breadth(b)=5cm
Height(h)=5cm
Formula of surface area of cuboid=
2(lh+bh+lb)
=2(35×5+5×5+35×5)
=2(175+25+175)
=2(375)
=750sq.cm
Given:
Length of a cube = 5 cm
Number of cubes = 7
To find:
The surface area of the cuboid formed by joining the cubes end to end.
Solution:
When we join the given cubes end to end then a cuboid of dimension 35×5×5 cm will form i.e. the length of the cuboid will be 35 cm, its breadth will be 5 cm and its height will be 5 cm. The surface area of such a cuboid will be:
= 2(length×breadth + breadth×height + height×length)
= 2(35×5 + 5×5 + 5×35)
= 2(175 + 25 + 175)
= 2 × 375
= 750 cm²
Thus, the surface area of the cuboid will be 750 cm².