Tom wants to paint his study room- Two of the four walls of the room measures 12 feet - 11 feet- and the base measures 11 feet - 9 feet- Find the cost of painting all the four walls if the cost of painting is 3 per square feet-

Let's draw a rectangular prism with appropriate dimensions. Given, nbsp; Length of the rectangular prism (l) = 11 ft Width of the rectangular prism (w) = 9 f ...

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Standard IX

Mathematics

Algebraic Identities

Tom wants to ...

Question

Tom wants to paint his study room. Two of the four walls of the room measures
12 feet $\times$ 11 feet, and the base measures 11 feet $\times$ 9 feet. Find the cost of painting all the four walls if the cost of painting is $3 per square feet.

$ 1240

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$ 1440

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$ 1420

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$ 1280

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Solution

The correct option is B $$ 1440$
Let's draw a rectangular prism with appropriate dimensions.
Given,
Length of the rectangular prism (l) = 11 ft

Width of the rectangular prism (w) = 9 ft

Height of the rectangular prism (h) = 12 ft

We know that the lateral surface area of the rectangular prism =
$2 (l + w) \times h$
$= 2 (11 + 9) \times 12 = 2 \times 20 \times 12 = 480$ sq ft.

Given, the cost of painting is $$ 3$ per sq ft.

Hence, the total cost of painting is $3 \times 480 = $ 1440$ .

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Tom wants to paint his study room. Two of the four walls of the room measures 12 feet × 11 feet, and the base measures 11 feet × 9 feet. Find the cost of painting all the four walls if the cost of painting is $3 per square feet.

Tom wants to paint his study room. Two of the four walls of the room measures
12 feet $\times$ 11 feet, and the base measures 11 feet $\times$ 9 feet. Find the cost of painting all the four walls if the cost of painting is $3 per square feet.