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

13.33 cm3
cm cubed

2,160 cm3
cm cubed

6,480 cm3
cm cubed

720 cm3

1 answer

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

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

In this case, the base area is calculated using the length and width of the pyramid:

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

Now, using the height of the pyramid, which is 12 cm:

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

Calculating this:

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

Therefore, the correct response is 720 cm³.