Question

What is the volume of a right square pyramid with a height of 12 centimeters and a base that measures 8 centimeters by 8 centimeters

Answer 1

Step 1 :

In this question, we are meant to find the volume of a right square pyramid

with a height of 12 centimeters and a base that measures 8 centimeters by

8 centimeters .

Step 2 :

Recall that the volume of a right square pyramid =

`(1)/(3)\text{ x Area of Base x Height}`
`\begin{gathered} \text{Area of the Base = Length x Width} \\ \text{Length = 8 cm} \\ \text{Width = 8 cm} \\ \text{Then the area of the Base = 8cm X 8 cm = 64 cm}^2 \end{gathered}`

Then, the volume of a right square pyramid =

`\begin{gathered} (1)/(3)\text{ x Area of Base x Height } \\ =\text{ }(1)/(3)X64cm^2\text{ X 12cm} \\ =\text{ }(768cm^3)/(3) \\ =256cm^3 \end{gathered}`

CONCLUSION:

The volume of the right square Py