Volume of a prism or cylinder (area of base times height)
Show that volume = area of base * height for prisms and cylinders, and use it to find the volume, base area, or height when given the other two. Unlimited questions, five difficulty levels, and a full worked solution every time, included free with weekly lessons.
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A rectangular prism has a base that is 6 m by 7 m, and a height of 7 m. What is its volume?
Answer: 294
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A rectangular prism has a volume of 160 m^3 and a base that is 5 m by 8 m. What is its height?
📘 Worked solution
1Area of base = l · w = 5 · 8 = 40 m2The base of a rectangular prism is a rectangle -- area = length * width.
2height = Volume / base area = 160 / 40 = 4 mUndo the multiplication: divide the volume by the area of the base to isolate the height.
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