Question

What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?

Answer 1

Answer:

The answer to your question is 10240 mm³

Step-by-step explanation:

Data

length of the base = 32 mm

length of the height = 34 mm

Formula

Volume of a pyramid = 1/3 x Area of the base x length of the height

Process

1.- Calculate the area of the base

Area = side x side

        = 32 x 32

        = 1024 mm²

2.- Find the height of the pyramid using the Pythagorean theorem

height² = 34² - 16²

height² = 1156 - 256

height² = 900

height = 30

3.- Calculate the volume of the pyramid

Volume = 1/3Area x height

             = 1/3(1024 x 30)

             = (30720)/3 mm³

             = 10240 mm³