Question

6. a) A rectangular box completely filled with milk powder is 16 cm long, 9 cm

broad and 15 cm high. How many cubical boxes of length 6 cm are required
to empty the milk powder from the box?

Answer 1

10

Explanation:

Step 1:

Find the volume of the rectangular box

Volume = L x H x W

L = 16cm, W = 9cm and H = 15cm

Step 2: Substitute in the formula

Volume of the rectangular box = 16 x 9 x 15 = 2160 cm cube

Step 3: Find the volume of the cubical box

`Volume of a cube = L^(3) \\L = 6\\Volume of the cube = 6^(3)\\= 216 cm^(3)`

Step 4: To find the number of cubical boxes of length 6cm required to empty the milk powder from the box, you will divide volume of the rectangular box by the volume of the cubical box

Therefore

`= (2160)/(216) \\= 10`

Answer 2

9514 1404 393

Answer:

10

Explanation:

The volume of the cuboid box is ...

V = LWH

V = (16 cm)(9 cm)(15 cm) = 2160 cm³

The volume of the 6 cm cube is ...

V = s³

V = (6 cm)³ = 216 cm³

The number of smaller boxes required to hold the contents of the larger box is ...

(2160 cm³)/(216 cm³/box) = 10 boxes