Question

A crate that is 10 inches long, 8 inches wide, and 3 inches high is shown above. The floor and the four walls are all one inch thick. How many one-inch cubical blocks can fit inside the crate?

Answer 1

By calculating the internal dimensions and volume of the crate and knowing that each one-inch cubical block has a volume of 1 cubic inch, it is determined that 48 one-inch cubical blocks can fit inside the crate.

Step-by-step explanation:

The question asks how many one-inch cubical blocks can fit inside a crate that is 10 inches long, 8 inches wide, and 3 inches high, given that the walls are one inch thick. To solve this, we first need to determine the internal dimensions of the crate by subtracting the thickness of the walls (1 inch) from each of the crate's external dimensions.

This gives us an internal length of 10 - 2 = 8 inches, an internal width of 8 - 2 = 6 inches, and an internal height of 3 - 2 = 1 inch. Next, we calculate the internal volume using the formula for volume, which is length × width × height.

The internal volume is thus 8 in. × 6 in. × 1 in. = 48 cubic inches. Since we know the volume of each one-inch cubical block is 1 cubic inch, we can determine that exactly 48 one-inch cubical blocks can fit inside the crate.

Answer 2

48

Step-by-step explanation:

The exterior of the crate is 10 inches long, meaning that the inside measurement is 8 inches. Next, the 8 inch width corresponds to 6 inches inside. Finally, the 3 inch height corresponds to 1 inch interior height.

Thus the inside floor of the box is 8 by 6 inches, or 48 square inches.

Since the inside height is only 1 inch, this means that 48 one-inch cubical blocks will fit inside the crate.