A cuboid is shown below:
What is the surface area of the cuboid?
We have hundreds of course questions with personalized recommendations + Account 100% premium
A cuboid is shown below:
What is the surface area of the cuboid?
Remember that the formula for the surface area of a cuboid is:
(length X width + length X height + width X height) 2
We input the known data into the formula:
2*(3*2+2*5+3*5)
2*(6+10+15)
2*31 = 62
62
Calculate the surface area of the orthohedron below using the data in the diagram.
A cuboid has six faces that come in three pairs of identical rectangles. Each pair has the same dimensions, so we calculate one of each type (front/back, left/right, top/bottom) then multiply by 2!
Look at the three dimensions: length×width, length×height, and width×height. These give you the three different rectangle types that make up the six faces of your cuboid.
It doesn't matter! Just make sure you use each dimension exactly twice in your three calculations. For a 2×3×5 cuboid: 2×3, 2×5, and 3×5 covers all combinations.
Yes, but it's more work! You'd calculate six separate rectangles and add them up. The formula method is faster: find the three unique face areas, add them, then double the result.
Compare to the volume! For this 2×3×5 cuboid, volume = 30. Surface area should be larger than volume for small cuboids. Our answer of 62 makes sense!
Get unlimited access to all 18 Cuboids questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime