Math, asked by Rohitsirohi318, 1 year ago

A open box is made of wood 3 cm thick its external length, breadth and height are 1.48 m ,1.16 m and 8.3 m. Find the cost of painting the inner surface at rupees 50 per square metre

Answers

Answered by dheerajk1912
70

Given:

A open box is made of wood 3 cm thick its external length, breadth and height are 1.48 m , 1.16 m and 8.3 m.

To Find:

Find the cost of painting the inner surface at rupees 50 per square metre.

Solution:

Thickness of wood = t = 0.03 m

Internal length of box = L = External length - 2× Thickness of wood

Internal length of box = L = 1.48 - 0.03×2 = 1.42 m

Internal breadth of box = L = External breadth - 2× Thickness of wood

Internal breadth of box = B = 1.16 - 0.03×2 = 1.10 m

Internal height of box = L = External height - Thickness of wood

Internal height of box = H = 8.30 - 0.03 = 8.27 m

We know the formula of surface area of open box:

Surface area = 2 ×(L+B) ×H + L×B

Surface area = 2 ×(1.42+1.10) ×8.27 + 1.42×1.10

On solving:

Surface area = 43.2428 m²

Total cost of painting = Total area × price rate

Total cost of painting = 43.2428 × 50 = 2162.14 Rupees

Means total cost of painting the inner surface is 2162.14 rupees.

Answered by GK1971
14

Answer:

Hello There,

This is your answer.

Step-by-step explanation:

Given:

A open box is made of wood 3 cm thick its external length, breadth and height are 1.48 m , 1.16 m and 8.3 m.

To Find:

Find the cost of painting the inner surface at rupees 50 per square metre.

Solution:

Thickness of wood = t = 0.03 m

Internal length of box = L = External length - 2× Thickness of wood

Internal length of box = L = 1.48 - 0.03×2 = 1.42 m

Internal breadth of box = L = External breadth - 2× Thickness of wood

Internal breadth of box = B = 1.16 - 0.03×2 = 1.10 m

Internal height of box = L = External height - Thickness of wood

Internal height of box = H = 8.30 - 0.03 = 8.27 m

We know the formula of surface area of open box:

Surface area = 2 ×(L+B) ×H + L×B

Surface area = 2 ×(1.42+1.10) ×8.27 + 1.42×1.10

On solving:

Surface area = 43.2428 m²

Total cost of painting = Total area × price rate

Total cost of painting = 43.2428 × 50 = 2162.14 Rupees

Means total cost of painting the inner surface is 2162.14 rupees.

HOPE IT HELPS YOU!!!

HAVE A GREAT DAY AHEAD!!!

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