A gift box has dimensions of:
inches,
inches, and
inches, respectively. How many cubes with side lengths of
inches would be needed to fill the gift box?
A.
116.875 cubes
B.
163.5 cubes
C.
935 cubes
D.
1,870 cubes
B. 163.5 cubes
its actuall 935
To find the number of cubes needed to fill the gift box, we need to calculate the volume of the gift box and divide it by the volume of a single cube.
The volume of a rectangular box can be found by multiplying its length, width, and height together.
Given:
Length: inches
Width: inches
Height: inches
Side length of the cube: inches
Step 1: Calculate the volume of the gift box.
Volume of the gift box = Length * Width * Height
Volume of the gift box = * *
Step 2: Calculate the volume of a single cube.
Volume of a cube = side length * side length * side length
Volume of a cube = * *
Step 3: Divide the volume of the gift box by the volume of a single cube to get the number of cubes needed.
Number of cubes = Volume of the gift box / Volume of a single cube
Number of cubes = /
Now, let's do the calculations.
Number of cubes = /
To determine the correct answer, we can perform the calculations:
A. 116.875 cubes
B. 163.5 cubes
C. 935 cubes
D. 1,870 cubes
After performing the calculation, we can see that the correct answer is:
B. 163.5 cubes