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Volume and surface areaGeometryMiddle schoolabout 0:44

Find the volume and surface area of a rectangular prism 5 × 4 × 10: animated lesson

A narrated, step-by-step volume and surface area video lesson with captions. Final answer: Volume = 200 cubic units; surface area = 220 square units.

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
Find the volume and surface area of a rectangular prism 5 × 4 × 10.
2. Step by step
1. $V = 5 \cdot 4 \cdot 10 = 200$
  Volume
2. $S = 2(20 + 50 + 40) = 220$
  Surface area: three pairs of rectangles
3. The answer
$V = 200$
V = 200, S = 220
4. Check
- Volume 200 and surface area 220 are positive.

Transcript

The problem. Here is the problem: Find the volume and surface area of a rectangular prism 5 times 4 times 10. Compute the volume (cubic units) and total surface area (square units) of the solid from its dimensions in one length unit.

Step by step. Volume. Surface area: three pairs of rectangles.

The answer. So the answer is Volume equals 200 cubic units; surface area equals 220 square units. Volume counts unit cubes inside a solid; surface area counts unit squares needed to wrap it. Doubling every length multiplies volume by 8 and surface area by 4.

Check. Volume 200 and surface area 220 are positive.

About volume and surface area

Volume and surface area of prisms, cylinders, cones and spheres.

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