Volume of a Pyramid Practice

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Question 2

Given a pyramid with a volume of 6cm3, width of 2cm and length of 3cm. Find the height of the pyramid.

Answer

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Select and check your answer...

A. 2 cm3
B. 2 cm
C. 3 cm3
D. 3 cm

Step by Step Solution

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    Step 1

    The picture below shows the pyramid with the width of 2cm, length of 3cm and the height h.

    a pyramid with width 2cm, length 3cm and height h.
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    Step 2

    Since the values of the volume, V and width w and length l are given, we can substitute them into the volume of a pyramid formula to find h:

    substituting the values of V, w, and l
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    Step 3

    Now, we have 2h = 6. To get a step closer in finding h, we need to remove 2 by dividing both sides of the equation with 2. This is shown below:

    dividing both sides of the equation with 2
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    Step 4

    Now, the calculated number 3, has no meaning until we include the unit for it. Since volume in unit cm3, h will be in cm. Hence:

    h = 3 cm
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    Step 5

    Therefore, the answer is D.

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