Solid type identified.
Cube, prism, cylinder, cone, sphere, pyramid , formula picked accordingly.
Shape-aware
AI Solver by AskSia
Surface Area Solver: any solid
Type or photograph the solid type and dimensions. AskSia identifies the solid (cube, prism, cylinder, cone, sphere, pyramid) and applies the right surface area formula, breaking the total surface into faces or curved parts as appropriate.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
How do you find surface area?
Surface area is the total area of the outer boundary of a 3D solid. For polyhedra (cubes, prisms, pyramids), sum the areas of all faces. For curved solids, use specific formulas: cylinder SA = 2*pi*r^2 + 2*pi*r*h (two circles plus rectangle); cone SA = pi*r^2 + pi*r*l (circle plus cone slant area, where l is slant height); sphere SA = 4*pi*r^2. For general surfaces in calculus, set up a surface integral.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Surface Area.
Every step transparent, every answer self-checked.
Faces or curved parts.
Polyhedra get face-by-face sums. Curved solids get specific formulas.
Decomposition
Right formula applied.
Cube 6s^2, cylinder 2*pi*r^2 + 2*pi*r*h, sphere 4*pi*r^2, etc.
Formula
Units preserved.
Square units (square inches, square cm) carried through.
Units
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Surface Area problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Surface Area solver covers.
Cube and rectangular prism.
Sum of all rectangular face areas.
Polyhedron
Cylinder.
Two circular ends plus the curved side wall.
Cylinder
Cone.
Circular base plus the slant surface.
Cone
Sphere.
4*pi*r^2 directly. AskSia computes from radius or diameter.
Sphere
Pyramid.
Polygon base plus triangular faces. Slant height needed.
Pyramid
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
What is the difference between lateral surface area and total surface area?
Lateral surface area is the area of the curved or side surfaces only, excluding the top and bottom (bases). Total surface area includes everything: lateral plus all bases. For a cylinder, lateral SA = 2*pi*r*h, while total SA = 2*pi*r*h + 2*pi*r^2 (adds the two circular ends). AskSia computes whichever you ask for and labels them distinctly.
How do you find surface area of a cone?
SA = pi*r^2 + pi*r*l, where r is the radius of the base and l is the slant height (the diagonal from the apex to the edge of the base). If you have the cone's height h instead of slant height, compute l = sqrt(r^2 + h^2) using the Pythagorean theorem, then plug in. AskSia performs this Pythagorean step if needed.
Is surface area different from area?
Surface area is the 2D area of the outer boundary of a 3D solid. Plain 'area' usually refers to the 2D area of a flat shape. They use the same units (square units), but they describe different concepts. AskSia distinguishes between asking for 'area' (of a flat shape) and 'surface area' (of a 3D solid).
Can AskSia find surface area by integration?
Yes. For surfaces of revolution, the surface area equals the integral of 2*pi*r * ds, where r is the distance from the axis of rotation and ds is the arc length element along the curve being rotated. AskSia sets up this integral and evaluates it. For general parametric surfaces, AskSia uses the surface integral with cross-product of partial derivatives.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Outer boundary, every face, every curve.
Join 2M+ students using AskSia to solve surface area problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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