Question

HELP ASAP (MATH)

Pyramid tents were popular for a time during the 19th century. Although their popularity declined during the
20th century, they have recently begun to regain popularity. The design is ideal for shaping canvas, and it only
requires one pole and some stakes to secure it. Joe wants to make a right square pyramid tent and is considering
two different sizes. He will either make one with a base that is 10 feet by 10 feet and has a height of 12 feet (Tent
1), or he will make one with a base that is 12 feet by 12 feet and has a height of 8 feet (Tent 2).
Part A
Calculate the volume of each proposed pyramid tent
Tent 1. Base: 10 x 10 ft Height: 12 ft Tent 2 - Base: 12 x 12 ft Height: 8 ft
Part B
Which tent would you recommend Joe make if he wants more interior space?

Answer 1

PART - A : tent - 1 volume = 400 cubic ft

Tent -2 volume = 384 cubic ft.

PART - B : I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume

Explanation:

PART - A:

tent 1 :

Base = 10 x 10ft

Height= 12 ft

Volume = (1/3) (10x 10) (12)

= (1/3) (100) (12)

= 400 cubic ft.

Tent 2:

Base = 12 x 12 ft

Height= 8 ft.

Volume = (1/3) (12 x 12) (8)

= 384 cubic ft.

PART - B:

I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume