Question

A box measuring 11 inches by 10 inches by 7 inches is filled with solid wooden cubical blocks, each measuring 3 inches per side. How many wooden blocks can fit into the box

Answer 1

28

Explanation:

`number \: of \: wooden \: blocks \\ = (volume \: of \: box)/(volume \: of \: one \: wooden \: block) \\ = (11 * 10 * 7)/(3 * 3 * 3) \\ = (770)/(27) \\ = 28.51 \\`

Thus, there would be 28 full wooden blocks in the box.

Answer 2

Answer: 28 wooden blocks

Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*

* Always only count the whole numbers.