Question

K

Find the lateral surface area and volume of the solid
object shown below.
9.5"
9"
11"
11"
The base of the pyramid is an equilateral triangle.
...

Answer 1

Answer: 209 square inches, 182 cubic inches

Explanation:

The lateral surface area is the sum of the areas each of the four faces.

The area of one face is
`(1/2)(11)(9.5)`. Multiplying this by 4, we get 209 square inches.

To find the volume, we use the formula
`V=(1)/(3)Bh`. This gives us that the volume is
`(1/3)[(1/2)(11)(11)](9)`, or about 182 cubic inches.