Question

Five cubes of side 3 cm each are placed side by side and stuck together to form a cuboid. If the outer surface is to be painted at Rs 15 cm square, find the total cost of painting

Answer 1

Step-by-step explanation:

side is 3 cm

rate of painting is ₹ 15 cm per sq

$total \: surface \: area \: of \: cube \: = 6 {side}^{2} \\ = 6 \times {3}^{2} \\ = 6 \times 9 \\ = 54 {cm}^{2}$

TSA of five cubes = 5 × 54 = 270 sq. cm

As we know that all cubes are attached to side by side .

There are 8 sides which are attached.

$\: area \: of \: attached \: sides \: = 8 \times {side}^{2} \\ = 8 \times {3}^{2} \\ = 8 \times 9 \\ = 72 {cm}^{2}$

Area of attached cubes excluding attached sides = TSA of all cubes - Area of attached sides

=270 - 72 = 198 sq cm

Cost of painting = rate of painting × area of attached cubes excluding attached sides.

=15×198

= ₹ 2970

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Answer 2

Answer is in picture....❤️