A rectangular prism has dimensions 3 m, 4 m, and 5 m. What is its surface area?

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Question: A rectangular prism has dimensions 3 m, 4 m, and 5 m. What is its surface area?

Options:

Correct Answer: 60 m²

Solution:

The surface area of a rectangular prism is given by SA = 2(lw + lh + wh). Here, SA = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 m².

A rectangular prism has dimensions 3 m, 4 m, and 5 m. What is its surface area?

A rectangular prism has dimensions 3 m, 4 m, and 5 m. What is its surface area?

Step 1: Identify the dimensions of the rectangular prism. They are length (l) = 3 m, width (w) = 4 m, and height (h) = 5 m.
Step 2: Use the formula for the surface area of a rectangular prism, which is SA = 2(lw + lh + wh).
Step 3: Calculate the area of each pair of dimensions: lw = 3 * 4 = 12 m², lh = 3 * 5 = 15 m², and wh = 4 * 5 = 20 m².
Step 4: Add these areas together: 12 + 15 + 20 = 47 m².
Step 5: Multiply the sum by 2 to find the total surface area: SA = 2 * 47 = 94 m².

Surface Area of a Rectangular Prism – The surface area is calculated using the formula SA = 2(lw + lh + wh), where l, w, and h are the length, width, and height of the prism.