Bob has a box that is a right rectangular prism, shown in the diagram. 31½ inches 3 inches inches Bob wants to fill this box with same-sized cubes, each having edge lengths of 1½ -inch. How many cubes will Bob use if there is no empty space left in the box?

to find out how many 1½-inch cubes will fit in the box, you need to calculate the volume of the box and the volume of one cube, then divide the volume of the box by the volume of the cube.

1. first, convert the dimensions of the box to the same unit as the cube's edge length (inches):

- length: 31½ inches

- width: 3 inches

- height: 3 inches

2. the edge length of each cube is 1½ inches.

3. find the volume of the box:

volume of box = length × width × height

volume of box = 31½ × 3 × 3

convert 31½ to a decimal: 31.5

volume of box = 31.5 × 3 × 3 = 283.5 cubic inches

4. find the volume of one cube:

volume of cube = (edge length)³

volume of cube = (1.5)³ = 1.5 × 1.5 × 1.5 = 3.375 cubic inches

5. divide the volume of the box by the volume of one cube to find the number of cubes:

number of cubes = volume of box / volume of cube

number of cubes = 283.5 / 3.375 ≈ 84

bob will use 84 cubes if there is no empty space left in the box.

Bob has a box that is a right rectangular prism, shown in the diagram. 31½ inches 3 inches inches Bob wants to fill this box with same-sized cubes, each having edge lengths of 1½ -inch. How many cubes will Bob use if there is no empty space left in the box?​

Answer :

84

Other Questions

Bob has a box that is a right rectangular prism, shown in the diagram. 31½ inches 3 inches inches Bob wants to fill this box with same-sized cubes, each having edge lengths of 1½ -inch. How many cubes will Bob use if there is no empty space left in the box?