Question

Box A: height of 16 in, width of 4 in, length of 10 in
Box B: height of 10 in, width of 2 in, length of 8 in

Which box gives you more cereal for your money?

First, solve for the volume of each box of cereal. FORMULA SHEET

Second, find the UNIT PRICE for each box. PRICE/Cubic Inch. DO NOT ROUND. WRITE OUT ALL OF THE DECIMALS.

Third, compare the prices. Which box of cereal is cheaper per cubic inch?

(5 points)
Volume Box A = (__) in^3
Volume Box B = (__) in^3
Box A Price per cubic unit ($/in^3) = $ (__) per in^3
Box B Price per cubic unit ($/in3) = $ (___) per in^3
Which box is cheaper per cubic unit? Type A or B
Answered by GPT 3.5
Volume Box A = 640 in^3
Volume Box B = 160 in^3

Box A Price per cubic unit = $0.10 per in^3
Box B Price per cubic unit = $0.20 per in^3

Box A is cheaper per cubic unit.
Answer
What is the volume of a cube with the side length of 1.5 in.? Do not round.
Answered by GPT 3.5
Volume of a cube = (side length)^3
Volume of cube = 1.5^3 in^3
Volume of cube = 3.375 in^3
Answer
Lloyd bought a refrigerator that measures 76cm x 76cm x 170 cm to fit in a space with a volume of 975,000cm3 . Will the refrigerator fit in the space?
Answered by GPT 3.5
To determine if the refrigerator will fit in the space, we need to calculate the volume of the refrigerator first.

Volume of the refrigerator = 76cm x 76cm x 170cm
Volume of the refrigerator = 975,200cm^3

Since the volume of the refrigerator is 975,200cm^3, which is greater than the space's volume of 975,000cm^3, the refrigerator will not fit in the space.
Answer
Arushi has gift box that is the shape of a cube to wrap presents.

If each side length is 8.5 inches , how much space is in the box?

Do not round your answer.
Answered by GPT 3.5
The volume of a cube is given by the formula: Volume = (side length)^3.

Given that each side length is 8.5 inches, we can calculate the volume of the cube:

Volume = (8.5 inches)^3
Volume = 614.125 cubic inches

Therefore, the space in the box is 614.125 cubic inches.
Answer
If the VOLUME of a rectangular prism is 945 cm^3, then what is the value of the length X of the base?
Height: 15 cm
Width: 7 cm
Length: X cm
Answered by GPT 3.5
To find the value of the length X, we can use the formula for the volume of a rectangular prism: V = l x w x h, where l is the length, w is the width, and h is the height.

Given:
Height (h) = 15 cm
Width (w) = 7 cm
Volume (V) = 945 cm^3

We can substitute the given values into the formula and solve for the length (l):

945 = l * 7 * 15
945 = 105 * l
l = 945 / 105
l = 9

Therefore, the value of the length X is 9 cm.
Answer
Find the volume of the rectangular prism:
Height: 16 in
Width: 16 in
Length: 22 in
Answered by GPT 3.5
To find the volume of a rectangular prism, we use the formula: Volume = length x width x height.

Given:
Height = 16 inches
Width = 16 inches
Length = 22 inches

Volume = 22 x 16 x 16
Volume = 5632 cubic inches

Therefore, the volume of the rectangular prism is 5632 cubic inches.