Question

Calculate the volume of the square pyramid shown below, showing all your work.

Answer 1

Answer: 147 cm³

Step-by-step explanation: To find the volume of a pyramid, we use the formula shown.

Volume =
`(1)/(3) Bh`

Let's start by finding the area of the base. Since the base is a rectangle, we can find the area of the base by multiplying the length by the width.

Area = (7 cm) (7cm)

Area = 49 cm².

Now, we know that "B" in the formula is equal to 49 cm². This means that we can plug 49 cm² into our formula.

Volume =
`((1)/(3)) (49 cm^(2)) (9 cm)`

Now, 49 cm² × 9 cm is equal to 441 cm³.

Volume =
`((1)/(3)) (441cm^(3))`

Volume = 147 cm³

Therefore, the volume of the square pyramid is 147 cm³.