Chase a has locker that is 2 ft. wide, 2 ft. deep, and 5 ft. high. How many boxes of fundraising candy can he fit into his locker if each box is
1
ft.
3
in volume?
A.
9 boxes of candy
B.
10 boxes of candy
C.
20 boxes of candy
D.
25 boxes of candy
First, we need to calculate the volume of Chase's locker:
2 ft. x 2 ft. x 5 ft. = 20 cubic feet
Next, we need to convert the volume of each box of candy from cubic feet to cubic inches (since the dimensions of the locker are given in feet and the volume of the box is given in inches):
1 ft. 3 in. = 1.25 ft.
1.25 ft. = 15 inches
So, the volume of each box of candy is:
1.25 ft. x 1.25 ft. x 1.25 ft. = 1.5625 cubic feet
1.5625 cubic feet x 1728 cubic inches/cubic feet = 2700 cubic inches
Now we can divide the volume of the locker by the volume of each box to find the maximum number of boxes Chase can fit:
20 cubic feet / 1.5625 cubic feet per box = 12.8 boxes
Since Chase cannot fit a fractional number of boxes, he can fit a maximum of 12 boxes of candy in his locker. Therefore, the closest answer choice is:
B. 10 boxes of candy
To determine how many boxes of fundraising candy Chase can fit into his locker, we need to calculate the volume of his locker and divide it by the volume of each candy box.
The volume of the locker is calculated by multiplying its width, depth, and height:
Volume of locker = width x depth x height = 2 ft x 2 ft x 5 ft = 20 ft³
Now we need to convert the volume of each candy box to cubic feet. Since each box is 1 ft³ and 3 in = 0.25 ft, we can find the volume by multiplying:
Volume of candy box = length x width x height = 1 ft x 1 ft x 0.25 ft = 0.25 ft³
To determine the number of boxes Chase can fit, we divide the volume of the locker by the volume of each candy box:
Number of boxes = Volume of locker / Volume of candy box = 20 ft³ / 0.25 ft³ = 80 boxes
Therefore, Chase can fit 80 boxes of fundraising candy into his locker.
None of the provided answer choices of 9, 10, 20, or 25 boxes match the correct result of 80 boxes.
To find out how many boxes of fundraising candy Chase can fit into his locker, we need to calculate the volume of the locker and divide it by the volume of each box.
The volume of the locker is given by its height times its width times its depth:
Volume of locker = 5 ft x 2 ft x 2 ft = 20 ft³
The volume of each box is given as 1 ft³ 3 in = 1.25 ft³.
To find out how many boxes can fit into the locker, we divide the volume of the locker by the volume of each box:
Number of boxes = 20 ft³ / 1.25 ft³ = 16 boxes
Therefore, Chase can fit 16 boxes of fundraising candy into his locker.
The correct answer is not listed, but the closest option is C.