A rectangular building block has a square base $A B C D$ as shown. Its height is 8 units. If the block has a volume of 288 cubic units, what is the side length of the base?
(A) 6
(D) 10
(B) 8
(C) 36
(E) 12

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-097.jpg?height=322&width=252&top_left_y=465&top_left_x=1403)
A rectangular building block has a square base $A B C D$ as shown. Its height is 8 units. If the block has a volume of 288 cubic units, what is the side length of the base?
(A) 6
(D) 10
(B) 8
(C) 36
(E) 12

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-419.jpg?height=331&width=263&top_left_y=1366&top_left_x=1386)

## Solution

Since the volume of the rectangular block is 288 cubic units and volume is determined by:

(Area of base)(Height), then the area of the base is $\frac{288}{8}=36$. Since we have a square base, it must measure $6 \times 6$. The side length of the base is 6 units.

ANSWER: (A)