Volume of Pyramids Quick Check

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Question
What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height?(1 point)
Responses

6,480 cm3
cm cubed

13.33 cm3
cm cubed

2,160 cm3
cm cubed

720 cm3
cm cubed

1 answer

To find the volume of a pyramid, we can use the formula:

\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

For a rectangular base, the base area can be calculated as:

\[ \text{Base Area} = \text{Length} \times \text{Width} \]

In this case:

  • Length = 10 cm
  • Width = 18 cm
  • Height = 12 cm

First, calculate the base area:

\[ \text{Base Area} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]

Now, plug that into the volume formula:

\[ \text{Volume} = \frac{1}{3} \times 180 , \text{cm}^2 \times 12 , \text{cm} \]

Calculating:

\[ \text{Volume} = \frac{1}{3} \times 2160 , \text{cm}^3 = 720 , \text{cm}^3 \]

So, the volume of the pyramid is 720 cm³.

The correct response is 720 cm³.