Question

A right pyramid with a square base has a base edge length of 12 meters and slant height of 6 meters. The apothem is meters. The hypotenuse of ΔABC is the . The height is meters. The volume of the pyramid is cubic meters.

Answer 1

A right pyramid with a square base has a base edge length of 12 meters and slant height of 6StartRoot 2 EndRoot meters.

The apothem is

✔ 6

meters.

The hypotenuse of ΔABC is the

✔ slant height

.

The height is

✔ 6

meters.

The volume of the pyramid is

✔ 288

cubic meters.

Explanation:

Answer 2

Apothem: 6m

hypotenuse : slant height : 6√2 m

height :6m

volume: 288m2

Explanation:

Hi, the correct values are: (image attached down below)

Base length= 12m

Slant height is actually = 6√2

So, to calculate the apothem (AC)we apply the Pythagorean theorem:

AB^2 = AC^2 + BC^2

√AB^2 -BC^2 = AC

AC = √(6√2)^2 - 6^2

AC =6 meters

Hypotenuse of ABC = AB =6√2 meters

Height = AC = 6 meters

Volume:

Volume of a pyramid = 1/3 x base area x height

area of a square = side length ^2 = 12^2

V= 1/3 x 12^2 x 6 =288 m2