Question

Two pyramids like the one below sit on top of the gates at the entrance to the bridge. A square pyramid. The base is 10 inches by 10 inches. The triangular sides have a base of 10 inches and height of 13 inches. The pyramid has a height of 12 inches. Which expression shows how to determine the minimum amount of cement used to make each of the pyramids? One-third (10) (10) (12) One-half (10) (10) (12) 4 (one-half (10) (13)) + 10 (10) 4 (one-third (10) (13)) + 10 (10)

Answer 1

Answer:

Option 1:

One-third (10) (10) (12)

Step-by-step explanation:

Amount of cement = volume

2(⅓ base area × height)

2(⅓ × 10² × 12)

800 in³

Each pyramid is: ⅓(10)(10)(12)

Answer 2

Answer:

A

Step-by-step explanation:

We need to find the volume of the pyramid. The volume of a square pyramid is denoted by: $V=\frac{1}{3} Bh$, where B is the base area and h is the height.

Here, we know that the height of the pyramid is 12 and that the square base has dimensions 10 by 10. That means the base area is just 10 * 10 and the height is h = 12.

Plug these into the equation:

$V=\frac{1}{3} *10*10*12$

Thus, the answer is A.

Hope this helps!