the side of a cubical box is 80cm.find total surface area and cost of painting outer surface at the rate of ₹0.25 per cm^2
Answers
Hello Mate! Here is your Answer:
Given,
Side of a Cubical Box (s) = 80 cm
Volume of the Cubical Box (V) = s³
= (80)³ cm³
= 512000 cm³
= 6400 cm²
If 1 cm² takes Rs. 0.25, then, 6400 cm² will take = Rs. (6400*0.25)
= Rs. 25600
I hope this helps.
Step-by-step explanation:
The cost of painting is Rs. 9600.
Step-by-step explanation:
\textsf{Side of the cubical box = 80 cm}Side of the cubical box = 80 cm
\textsf{Rate of painting = Rs. 0.25 per sq.cm}Rate of painting = Rs. 0.25 per sq.cm
\textsf{The TSA and cost of painting of box = ??}The TSA and cost of painting of box = ??
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★ \textsf{\underline{Total Surface Area of Cube :}}
Total Surface Area of Cube :
\sf{\longrightarrow} \: 6a^{2}⟶6a
2
\sf{\longrightarrow} \:6 \times 6400⟶6×6400
\sf{\longrightarrow} \: 38400 \: {cm}^{2}⟶38400cm
2
\textsf{Total surface area of cube = 38400 sq.cm}Total surface area of cube = 38400 sq.cm
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★ \textsf{\underline{Cost of painting outer sides of box :}}
Cost of painting outer sides of box :
\sf{\longrightarrow} \:Total \: surface \: area \times Rate \: of \: painting⟶Totalsurfacearea×Rateofpainting
\sf{\longrightarrow} \: 38400 \times 0.25⟶38400×0.25
\sf{\longrightarrow} \: 9600⟶9600
\textsf{Cost of painting = Rs. 9600}Cost of painting = Rs. 9600
\textsf{Therefore, the cost of painting is Rs. 9600.}Therefore, the cost of painting is Rs. 9600.