Three cubes of edge 5 cm are put side by side and fused together as
shown below. The block is to be painted on all sides. Find the total
surface area of the block and the cost of painting at 25 per cm.
Answers
Answer:
TSA of the block is 50 cm square
cost of painting =11250
Step-by-step explanation:
1. First find the TSA of one cube =6× a× square
2.6×25=150
3.To find remaining tsa just multiply 150 by 3=450 cm square
4.cost of painting =450×25=11250
Please refer attachment for pictorial representation.
★ Given:
Three cubes of side 5 cm are to fused to form a cuboid.
The cost of painting the cuboid is Rs 25 per cm².
★ To Find:
The TSA of the cuboid.
The total cost of painting of the cuboid.
★ Solution
As three cubes are merged to form a single cuboid,
The length of the cuboid = 3 x one side of cube
= 3 x 5 = 15 cm
Breadth of the cuboid = breadth of one cube
= 5 cm
Height of cuboid = height of one cube
= 5 cm
So, length = 15 cm
Breadth = 5 cm
Height = 5 cm
TSA of cuboid = 2 (lh + bh + lb)
= 2 x [(15x5) + (5x5) + (15x5)]
= 2 x [75 + 25 + 75]
= 2 x 175
= 350 cm²
Cost of painting per cm² = Rs 25
Total cost of painting 350 cm² = 350 x 25
= Rs 8750
★ Final Answers:
TSA = 350 cm²
Total cost of painting the cuboid = Rs 8750
