Question

If bricks are each 3 inches × 4 inches × 8 inches, how many bricks can be fit into a space which is 1 foot × 4 feet × 8 feet?

A 1 to 250
B 251 to 500
C 501 to 750
D 751 to 1000
E >1000

Answer 1

After converting the space dimensions from feet to inches, the volume of the space is 55,296 cubic inches and the volume of one brick is 96 cubic inches. Dividing the space volume by the brick volume gives 576 bricks, which falls within the range of 501 to 750, answer choice C.

Step-by-step explanation:

To determine how many bricks can fit into a space, begin by converting all measurements to the same unit. The brick size is given in inches, so convert the space dimensions from feet to inches. There are 12 inches in 1 foot, so the space dimensions in inches are 12 inches × 1 foot (width), 12 inches × 4 feet (depth), and 12 inches × 8 feet (height).

Now calculate the volume of the space:

12 in × 48 in × 96 in = 55,296 cubic inches.

Then calculate the volume of a single brick:

3 in × 4 in × 8 in = 96 cubic inches.

Divide the total volume of the space by the volume of a single brick to find out how many bricks you can fit:

55,296 in³ / 96 in³/brick = 576 bricks.

Since 576 fits within the range of 501 to 750, the correct answer is C (501 to 750).

Answer 2

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

`\text{Number of bricks in space}=(12* 48 *96)/(3* 4 *8)`

`\text{Number of bricks in space}=576`

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.