Question

How many plastic cubes can fit into the box?

Answer 1

Option D:

160 plastic cubes can fit into the box.

Solution:

Convert mixed fraction into improper fraction.

Length of the box = 4 ft

Width of the box = $2\frac{1}{2}=\frac{5}{2}$ ft

Height of the box = 2 ft

Volume of the box = length × width × height

                                 $=4\times\frac{5}{2} \times2$

                                 = 20 ft³

Volume of the box = 20 ft³

Length of the plastic cube = $\frac{1}{2}$ ft

Volume of the cube = length × length × length

                                 $=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2}$

                                 $=\frac{1}{8} \ \text{ft}^3$

Volume of the cube = 0.125 ft³

$\text{Number of plastic cubes}=\frac{\text{Volume of box}}{\text{Volume of cube}}$      

                                        $=\frac{20}{0.125}$

                                        = 160

Number of plastic cubes = 160

Hence 160 plastic cubes can fit into the box.

Option D is the correct answer.