Question

Determine the area of the bottom of the rectangular prism. square feet.
Determine the height of the rectangular prism. feet
Determine the volume of the rectangular prism. cubic feet. Use the formula chart below.
A)
7th Grade Math Formula Sheet
(3 points)


Question 2

Part 1. Volume of the Airplane Cabin
Determine the radius of the airplane cabin. feet
A)
7th Grade Math Formula Sheet
The passenger area of the cabin in a Boeing 757 airplane is approximately a cylinder with a diameter of
12 feet and a length of 118 feet.
(4 points)

Determine the area of circular base of the airplane cabin. square feet (Remember to use 3.14
for pi. Do not round the numbers.)
What is the length of the airplane cabin? feet
Determine the volume of the airplane cabin. cubic feet (Do not round the numbers. Use
commas if needed.)
Save this number! You will need it for the next part.

Part 2. Passenger Space
Look at Part 1. What is the volume of the airplane cabin? cubic feet (Remember, do not round
the number. Use commas if needed.)
The maximum number of passengers this airplane can carry is 239.
B)
The passenger area of the cabin in a Boeing 757 airplane is approximately a cylinder with a diameter of
12 feet and a length of 118 feet.
(2 points)

Determine the unit rate of cubic feet per person in the airplane cabin. cubic feet per
person (Round your answer to the nearest whole number.)

Question 3

Part 1. Volume of the container.
Determine the radius of the container. inches
Determine the area of the circular base of the container. square inches (Remember to use
3.14 for pi.)
A)
7th Grade Math Formula Sheet
Consider this container of popcorn. Do not round the numbers.
(3 points)

Determine the volume of the container. cubic inches
Part 2: Volume of the Rectangular Prism.
Determine the area of the base of the rectangular prism. square inches
Determine the volume of the rectangular prism. cubic inches
B) Suppose you want to place 6 containers in a rectangular prism that is about 15 inches tall,
22 inches wide, and 7.6 inches wide. (2 points)
C) Part 3. Will the 6 popcorn containers fit? If so, how much space is left? (1 point)
No, the containers need about 250 more square inches of space.
No, the containers need about 1,500 more square inches.
Yes, there will be about 1,008 square inches of space left.
Yes, there will be about 2,258 square inches of space left.

Question 4

A)
7th Grade Math Formula Sheet
Consider the following triangular prism.

(3 points)

Determine the area of the triangular base. square yards
Determine the height of the triangular prism. yards
Determine the volume of the triangular prism. cubic yards

Question 5

Determine the volume of the larger prism. cubic inches
Determine the volume of the smaller prism. cubic inches
A)
7th Grade Math Formula Sheet
Consider this figure.
(3 points)
Determine the total volume of the figure. cubic inches

Answer 1

I can solve the airplane (Question 2) parts from the data you gave, but I’m missing the diagrams / dimensions for several other questions (Question 1 rectangular prism, Question 3 container dimensions, Question 4 triangular prism, Question 5 composite prisms). Please upload the images or give the missing dimensions and I’ll finish those.

Below are the full solutions for Question 2 (Parts 1 and 2), using π = 3.14 as you specified.

Question 2 — Part 1 (Airplane cabin)
- Given: cylinder with diameter = 12 ft and length = 118 ft.
1. Radius = diameter / 2 = 12 / 2 = 6 feet.
2. Area of circular base = π r^2 = 3.14 × 6^2 = 3.14 × 36 = 113.04 square feet.
3. Length of the cabin = 118 feet (given).
4. Volume = base area × length = 113.04 × 118 = 13,338.72 cubic feet.
(Keep the full number as requested: 13,338.72 ft^3.)

Save this number: 13,338.72 ft^3.

Question 2 — Part 2 (Passenger space)
- Given: max passengers = 239 and total cabin volume = 13,338.72 ft^3.
- Unit rate (cubic feet per person) = 13,338.72 ÷ 239 ≈ 55.8159...
- Rounded to the nearest whole number: 56 cubic feet per person.

If you upload the missing images or provide the numeric dimensions for the other questions (rectangular prism in Q1, the popcorn container dimensions in Q3, the triangular prism in Q4, and the two prisms for Q5), I’ll compute those areas, heights, volumes, and the “will they fit?” question right away.