A rectangular prism has dimensions 4 m, 5 m, and 6 m. What is its surface area?
Practice Questions
Q1
A rectangular prism has dimensions 4 m, 5 m, and 6 m. What is its surface area?
94 m²
60 m²
70 m²
80 m²
Questions & Step-by-Step Solutions
A rectangular prism has dimensions 4 m, 5 m, and 6 m. What is its surface area?
Step 1: Identify the dimensions of the rectangular prism. They are length (l) = 4 m, width (w) = 5 m, and height (h) = 6 m.
Step 2: Use the formula for surface area (SA) of a rectangular prism: SA = 2(lw + lh + wh).
Step 3: Calculate lw (length times width): 4 m * 5 m = 20 m².
Step 4: Calculate lh (length times height): 4 m * 6 m = 24 m².
Step 5: Calculate wh (width times height): 5 m * 6 m = 30 m².
Step 6: Add the three results together: 20 m² + 24 m² + 30 m² = 74 m².
Step 7: Multiply the sum by 2 to find the surface area: 2 * 74 m² = 148 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.
