A rectangular prism has dimensions of 3 cm, 4 cm, and 5 cm. What is the total su

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Question: A rectangular prism has dimensions of 3 cm, 4 cm, and 5 cm. What is the total surface area?

Options:

Correct Answer: 62 cm²

Solution:

Surface Area = 2(lw + lh + wh) = 2(3*4 + 3*5 + 4*5) = 62 cm²

A rectangular prism has dimensions of 3 cm, 4 cm, and 5 cm. What is the total surface area?

A rectangular prism has dimensions of 3 cm, 4 cm, and 5 cm. What is the total surface area?

Step 1: Identify the dimensions of the rectangular prism. They are length (l) = 3 cm, width (w) = 4 cm, and height (h) = 5 cm.
Step 2: Use the formula for the surface area of a rectangular prism: Surface Area = 2(lw + lh + wh).
Step 3: Calculate lw (length times width): 3 cm * 4 cm = 12 cm².
Step 4: Calculate lh (length times height): 3 cm * 5 cm = 15 cm².
Step 5: Calculate wh (width times height): 4 cm * 5 cm = 20 cm².
Step 6: Add the three results together: 12 cm² + 15 cm² + 20 cm² = 47 cm².
Step 7: Multiply the sum by 2 to find the total surface area: 2 * 47 cm² = 94 cm².

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