Volume of a Pyramid Practice

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Question 1
Given a pyramid with width 2cm, length 4cm and height 6cm. Find the volume of this pyramid.

Answer

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A. 16 cm2
B. 16 cm3
C. 8 cm2
D. 8 cm3
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Step by Step Solution 

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Step 1
The picture below shows the pyramid the width of 2cm, length of 4cm and height of 6cm.
a pyramid with width 2cm, length 4cm and height 6cm.

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Step 2
To calculate the volume, we will use the formula for the volume of a pyramid. W, l and h are the width, length and height of the pyramid respectively.
formula for the volume of a pyramid

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Step 3
Since the values for w, l and h are given, we can substitute w with 2, l with 4 and h with 6. After substituting these values, we can calculate for V as shown below:
Calculating the volume of a pyramid
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Step 4
Now, the calculated number 16 only has a meaning if we include the unit for it. Since the given units are in cm, the unit for volume will be cm3. Hence:
V = 16 cm3
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Step 5
Clearly, the answer is B.

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