Volume Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
A rectangular storage box is 88 cm long and 66 cm wide. If its volume is 336336 cm³, find its height.

Solution

  1. 1
    Use the rectangular prism formula V=l×w×hV = l \times w \times h.
  2. 2
    Substitute the known values: 336=8×6×h=48h336 = 8 \times 6 \times h = 48h.
  3. 3
    Solve for the height: h=33648=7h = \frac{336}{48} = 7 cm.

Answer

h=7 cmh = 7 \text{ cm}
You can work backward from volume by dividing by the known dimensions. For rectangular prisms, volume is the product of length, width, and height, so an unknown dimension is found by dividing the volume by the other two dimensions.

About Volume

The amount of three-dimensional space that an object occupies, measured in cubic units such as cm³.

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More Volume Examples

Example 1 easy

Find the volume of a rectangular prism with length [formula] cm, width [formula] cm, and height [for

Example 2 medium

Find the volume of a cylinder with radius [formula] cm and height [formula] cm. Leave your answer in

Example 3 medium

A cylindrical water tank has radius [formula] m and height [formula] m. Find its volume in cubic met

Example 5 medium

A cylinder has volume [formula] cm³ and height [formula] cm. Find its radius.

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