Find the volume of a pyramid with a square base, where the perimeter of the base is 19.1\text{ ft}19.1 ft and the height of the pyramid is 15.9\text{ ft}15.9 ft. Round your answer to the nearest tenth of a cubic foot.

The volume of the pyramid is 120.8 ft³

Step-by-step explanation:

To find the volume of a square-based pyramid, we will follow the steps below:

write down the formula for finding the volume of a pyramid

v =A(h/3)

where v is the volume , A is the area and h is the height

From the question given perimeter of the base  = 19.1 ft

since the base is a square, then;

perimeter = 4l = 19.1

4l = 19.1

Divide both-side of the equation by 4

4l/4 = 19.1/4

l = 4.775 ft

Area = l² = 4.775² ≈ 22.8  ft

Also, from the question height = 15.9 ft

v = A(h/3)

v = 22.8 (15.9/3)

v= 22.8×5.3

v=120.84

v≈120.8 ft³   to the nearest tenth of a cubic foot

The volume of the pyramid is 120.8 ft³

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: