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

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~